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Finding the Fourth Proportional to 41,434.60, 62,154 and 11,856.82

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Solution

The fourth proportional to 41,434.60, 62,154 and 11,856.82 is: 17,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,434.60 : 62,154 = 11,856.82 : x
  2. Step 2: Convert to fraction form
    41,434.60/62,154 = 11,856.82/x
  3. Step 3: Cross multiply
    41,434.60x = 62,154 × 11,856.82
  4. Step 4: Simplify right side
    41,434.60x = 736,948,790.28
  5. Step 5: Solve for x
    x = 736,948,790.28/41,434.60
  6. Step 6: Final answer
    x = 17,785.83

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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.