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Finding the Fourth Proportional to 23,972.72, 35,937 and 10,114.16

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Solution

The fourth proportional to 23,972.72, 35,937 and 10,114.16 is: 15,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972.72 : 35,937 = 10,114.16 : x
  2. Step 2: Convert to fraction form
    23,972.72/35,937 = 10,114.16/x
  3. Step 3: Cross multiply
    23,972.72x = 35,937 × 10,114.16
  4. Step 4: Simplify right side
    23,972.72x = 363,472,567.92
  5. Step 5: Solve for x
    x = 363,472,567.92/23,972.72
  6. Step 6: Final answer
    x = 15,161.92

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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.