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Finding the Fourth Proportional to 16,288.88, 22,476.84 and 9,213.92

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Solution

The fourth proportional to 16,288.88, 22,476.84 and 9,213.92 is: 12,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.88 : 22,476.84 = 9,213.92 : x
  2. Step 2: Convert to fraction form
    16,288.88/22,476.84 = 9,213.92/x
  3. Step 3: Cross multiply
    16,288.88x = 22,476.84 × 9,213.92
  4. Step 4: Simplify right side
    16,288.88x = 207,099,805.61
  5. Step 5: Solve for x
    x = 207,099,805.61/16,288.88
  6. Step 6: Final answer
    x = 12,714.18

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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.