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Finding the Fourth Proportional to 16,294.24, 22,484.88 and 9,221.44

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Solution

The fourth proportional to 16,294.24, 22,484.88 and 9,221.44 is: 12,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.24 : 22,484.88 = 9,221.44 : x
  2. Step 2: Convert to fraction form
    16,294.24/22,484.88 = 9,221.44/x
  3. Step 3: Cross multiply
    16,294.24x = 22,484.88 × 9,221.44
  4. Step 4: Simplify right side
    16,294.24x = 207,342,971.83
  5. Step 5: Solve for x
    x = 207,342,971.83/16,294.24
  6. Step 6: Final answer
    x = 12,724.92

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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.