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Finding the Fourth Proportional to 16,092.24, 22,207.24 and 9,381.84

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Solution

The fourth proportional to 16,092.24, 22,207.24 and 9,381.84 is: 12,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.24 : 22,207.24 = 9,381.84 : x
  2. Step 2: Convert to fraction form
    16,092.24/22,207.24 = 9,381.84/x
  3. Step 3: Cross multiply
    16,092.24x = 22,207.24 × 9,381.84
  4. Step 4: Simplify right side
    16,092.24x = 208,344,772.52
  5. Step 5: Solve for x
    x = 208,344,772.52/16,092.24
  6. Step 6: Final answer
    x = 12,946.91

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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.