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Finding the Fourth Proportional to 16,171.32, 22,306.74 and 9,872.76

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Solution

The fourth proportional to 16,171.32, 22,306.74 and 9,872.76 is: 13,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.32 : 22,306.74 = 9,872.76 : x
  2. Step 2: Convert to fraction form
    16,171.32/22,306.74 = 9,872.76/x
  3. Step 3: Cross multiply
    16,171.32x = 22,306.74 × 9,872.76
  4. Step 4: Simplify right side
    16,171.32x = 220,229,090.40
  5. Step 5: Solve for x
    x = 220,229,090.40/16,171.32
  6. Step 6: Final answer
    x = 13,618.50

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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.