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Finding the Fourth Proportional to 16,046.47, 22,144.86 and 8,972.88

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Solution

The fourth proportional to 16,046.47, 22,144.86 and 8,972.88 is: 12,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.47 : 22,144.86 = 8,972.88 : x
  2. Step 2: Convert to fraction form
    16,046.47/22,144.86 = 8,972.88/x
  3. Step 3: Cross multiply
    16,046.47x = 22,144.86 × 8,972.88
  4. Step 4: Simplify right side
    16,046.47x = 198,703,088.35
  5. Step 5: Solve for x
    x = 198,703,088.35/16,046.47
  6. Step 6: Final answer
    x = 12,382.98

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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.