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Finding the Fourth Proportional to 16,405,409.60, 24,608,114.40 and 11,870,446.40

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Solution

The fourth proportional to 16,405,409.60, 24,608,114.40 and 11,870,446.40 is: 17,805,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405,409.60 : 24,608,114.40 = 11,870,446.40 : x
  2. Step 2: Convert to fraction form
    16,405,409.60/24,608,114.40 = 11,870,446.40/x
  3. Step 3: Cross multiply
    16,405,409.60x = 24,608,114.40 × 11,870,446.40
  4. Step 4: Simplify right side
    16,405,409.60x = 292,109,302,990,268.12
  5. Step 5: Solve for x
    x = 292,109,302,990,268.12/16,405,409.60
  6. Step 6: Final answer
    x = 17,805,669.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.