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Finding the Fourth Proportional to 22,456.98, 31,001.13 and 13,023.72

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Solution

The fourth proportional to 22,456.98, 31,001.13 and 13,023.72 is: 17,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.98 : 31,001.13 = 13,023.72 : x
  2. Step 2: Convert to fraction form
    22,456.98/31,001.13 = 13,023.72/x
  3. Step 3: Cross multiply
    22,456.98x = 31,001.13 × 13,023.72
  4. Step 4: Simplify right side
    22,456.98x = 403,750,036.80
  5. Step 5: Solve for x
    x = 403,750,036.80/22,456.98
  6. Step 6: Final answer
    x = 17,978.82

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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.