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Finding the Fourth Proportional to 16,100.57, 24,138.71 and 10,555.31

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Solution

The fourth proportional to 16,100.57, 24,138.71 and 10,555.31 is: 15,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.57 : 24,138.71 = 10,555.31 : x
  2. Step 2: Convert to fraction form
    16,100.57/24,138.71 = 10,555.31/x
  3. Step 3: Cross multiply
    16,100.57x = 24,138.71 × 10,555.31
  4. Step 4: Simplify right side
    16,100.57x = 254,791,614.20
  5. Step 5: Solve for x
    x = 254,791,614.20/16,100.57
  6. Step 6: Final answer
    x = 15,825.00

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