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Finding the Fourth Proportional to 10,154.70, 15,234.48 and 4,229.73

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Solution

The fourth proportional to 10,154.70, 15,234.48 and 4,229.73 is: 6,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.70 : 15,234.48 = 4,229.73 : x
  2. Step 2: Convert to fraction form
    10,154.70/15,234.48 = 4,229.73/x
  3. Step 3: Cross multiply
    10,154.70x = 15,234.48 × 4,229.73
  4. Step 4: Simplify right side
    10,154.70x = 64,437,737.09
  5. Step 5: Solve for x
    x = 64,437,737.09/10,154.70
  6. Step 6: Final answer
    x = 6,345.61

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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.