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Finding the Fourth Proportional to 22,578.91, 33,862.92 and 9,424.15

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Solution

The fourth proportional to 22,578.91, 33,862.92 and 9,424.15 is: 14,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.91 : 33,862.92 = 9,424.15 : x
  2. Step 2: Convert to fraction form
    22,578.91/33,862.92 = 9,424.15/x
  3. Step 3: Cross multiply
    22,578.91x = 33,862.92 × 9,424.15
  4. Step 4: Simplify right side
    22,578.91x = 319,129,237.52
  5. Step 5: Solve for x
    x = 319,129,237.52/22,578.91
  6. Step 6: Final answer
    x = 14,133.95

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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.