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Finding the Fourth Proportional to 29,234.90, 43,856.94 and 9,508.86

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Solution

The fourth proportional to 29,234.90, 43,856.94 and 9,508.86 is: 14,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234.90 : 43,856.94 = 9,508.86 : x
  2. Step 2: Convert to fraction form
    29,234.90/43,856.94 = 9,508.86/x
  3. Step 3: Cross multiply
    29,234.90x = 43,856.94 × 9,508.86
  4. Step 4: Simplify right side
    29,234.90x = 417,029,502.49
  5. Step 5: Solve for x
    x = 417,029,502.49/29,234.90
  6. Step 6: Final answer
    x = 14,264.79

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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.