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Finding the Fourth Proportional to 22,104.61, 30,531.76 and 16,045.17

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Solution

The fourth proportional to 22,104.61, 30,531.76 and 16,045.17 is: 22,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,104.61 : 30,531.76 = 16,045.17 : x
  2. Step 2: Convert to fraction form
    22,104.61/30,531.76 = 16,045.17/x
  3. Step 3: Cross multiply
    22,104.61x = 30,531.76 × 16,045.17
  4. Step 4: Simplify right side
    22,104.61x = 489,887,279.60
  5. Step 5: Solve for x
    x = 489,887,279.60/22,104.61
  6. Step 6: Final answer
    x = 22,162.22

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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.