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Finding the Fourth Proportional to 16,174.40, 24,251.10 and 6,314.70

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Solution

The fourth proportional to 16,174.40, 24,251.10 and 6,314.70 is: 9,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.40 : 24,251.10 = 6,314.70 : x
  2. Step 2: Convert to fraction form
    16,174.40/24,251.10 = 6,314.70/x
  3. Step 3: Cross multiply
    16,174.40x = 24,251.10 × 6,314.70
  4. Step 4: Simplify right side
    16,174.40x = 153,138,421.17
  5. Step 5: Solve for x
    x = 153,138,421.17/16,174.40
  6. Step 6: Final answer
    x = 9,467.95

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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.