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Finding the Fourth Proportional to 22,567.52, 31,143.50 and 13,002.13

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Solution

The fourth proportional to 22,567.52, 31,143.50 and 13,002.13 is: 17,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.52 : 31,143.50 = 13,002.13 : x
  2. Step 2: Convert to fraction form
    22,567.52/31,143.50 = 13,002.13/x
  3. Step 3: Cross multiply
    22,567.52x = 31,143.50 × 13,002.13
  4. Step 4: Simplify right side
    22,567.52x = 404,931,790.30
  5. Step 5: Solve for x
    x = 404,931,790.30/22,567.52
  6. Step 6: Final answer
    x = 17,943.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.