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Finding the Fourth Proportional to 16,062.60, 24,101.10 and 7,739.40

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Solution

The fourth proportional to 16,062.60, 24,101.10 and 7,739.40 is: 11,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.60 : 24,101.10 = 7,739.40 : x
  2. Step 2: Convert to fraction form
    16,062.60/24,101.10 = 7,739.40/x
  3. Step 3: Cross multiply
    16,062.60x = 24,101.10 × 7,739.40
  4. Step 4: Simplify right side
    16,062.60x = 186,528,053.34
  5. Step 5: Solve for x
    x = 186,528,053.34/16,062.60
  6. Step 6: Final answer
    x = 11,612.57

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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.