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Finding the Fourth Proportional to 10,704.42, 16,016.54 and 10,141.88

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Solution

The fourth proportional to 10,704.42, 16,016.54 and 10,141.88 is: 15,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.42 : 16,016.54 = 10,141.88 : x
  2. Step 2: Convert to fraction form
    10,704.42/16,016.54 = 10,141.88/x
  3. Step 3: Cross multiply
    10,704.42x = 16,016.54 × 10,141.88
  4. Step 4: Simplify right side
    10,704.42x = 162,437,695.90
  5. Step 5: Solve for x
    x = 162,437,695.90/10,704.42
  6. Step 6: Final answer
    x = 15,174.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.