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Finding the Fourth Proportional to 22,475.28, 31,023.12 and 13,042.02

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Solution

The fourth proportional to 22,475.28, 31,023.12 and 13,042.02 is: 18,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475.28 : 31,023.12 = 13,042.02 : x
  2. Step 2: Convert to fraction form
    22,475.28/31,023.12 = 13,042.02/x
  3. Step 3: Cross multiply
    22,475.28x = 31,023.12 × 13,042.02
  4. Step 4: Simplify right side
    22,475.28x = 404,604,151.50
  5. Step 5: Solve for x
    x = 404,604,151.50/22,475.28
  6. Step 6: Final answer
    x = 18,002.19

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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.