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Finding the Fourth Proportional to 20,002.71, 30,022.91 and 10,149.06

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Solution

The fourth proportional to 20,002.71, 30,022.91 and 10,149.06 is: 15,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.71 : 30,022.91 = 10,149.06 : x
  2. Step 2: Convert to fraction form
    20,002.71/30,022.91 = 10,149.06/x
  3. Step 3: Cross multiply
    20,002.71x = 30,022.91 × 10,149.06
  4. Step 4: Simplify right side
    20,002.71x = 304,704,264.22
  5. Step 5: Solve for x
    x = 304,704,264.22/20,002.71
  6. Step 6: Final answer
    x = 15,233.15

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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.