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Finding the Fourth Proportional to 25,409.60, 38,114.40 and 23,566.40

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Solution

The fourth proportional to 25,409.60, 38,114.40 and 23,566.40 is: 35,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409.60 : 38,114.40 = 23,566.40 : x
  2. Step 2: Convert to fraction form
    25,409.60/38,114.40 = 23,566.40/x
  3. Step 3: Cross multiply
    25,409.60x = 38,114.40 × 23,566.40
  4. Step 4: Simplify right side
    25,409.60x = 898,219,196.16
  5. Step 5: Solve for x
    x = 898,219,196.16/25,409.60
  6. Step 6: Final answer
    x = 35,349.60

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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.