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Finding the Fourth Proportional to 16,123.68, 22,251.92 and 9,836.64

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Solution

The fourth proportional to 16,123.68, 22,251.92 and 9,836.64 is: 13,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.68 : 22,251.92 = 9,836.64 : x
  2. Step 2: Convert to fraction form
    16,123.68/22,251.92 = 9,836.64/x
  3. Step 3: Cross multiply
    16,123.68x = 22,251.92 × 9,836.64
  4. Step 4: Simplify right side
    16,123.68x = 218,884,126.35
  5. Step 5: Solve for x
    x = 218,884,126.35/16,123.68
  6. Step 6: Final answer
    x = 13,575.32

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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.