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Finding the Fourth Proportional to 16,164.83, 22,304.12 and 9,449.15

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Solution

The fourth proportional to 16,164.83, 22,304.12 and 9,449.15 is: 13,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.83 : 22,304.12 = 9,449.15 : x
  2. Step 2: Convert to fraction form
    16,164.83/22,304.12 = 9,449.15/x
  3. Step 3: Cross multiply
    16,164.83x = 22,304.12 × 9,449.15
  4. Step 4: Simplify right side
    16,164.83x = 210,755,043.55
  5. Step 5: Solve for x
    x = 210,755,043.55/16,164.83
  6. Step 6: Final answer
    x = 13,037.88

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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.