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Finding the Fourth Proportional to 29,234.68, 43,856.60 and 9,508.62

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Solution

The fourth proportional to 29,234.68, 43,856.60 and 9,508.62 is: 14,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234.68 : 43,856.60 = 9,508.62 : x
  2. Step 2: Convert to fraction form
    29,234.68/43,856.60 = 9,508.62/x
  3. Step 3: Cross multiply
    29,234.68x = 43,856.60 × 9,508.62
  4. Step 4: Simplify right side
    29,234.68x = 417,015,743.89
  5. Step 5: Solve for x
    x = 417,015,743.89/29,234.68
  6. Step 6: Final answer
    x = 14,264.42

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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.