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Finding the Fourth Proportional to 29,847.92, 41,189.28 and 16,419.16

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Solution

The fourth proportional to 29,847.92, 41,189.28 and 16,419.16 is: 22,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.92 : 41,189.28 = 16,419.16 : x
  2. Step 2: Convert to fraction form
    29,847.92/41,189.28 = 16,419.16/x
  3. Step 3: Cross multiply
    29,847.92x = 41,189.28 × 16,419.16
  4. Step 4: Simplify right side
    29,847.92x = 676,293,378.60
  5. Step 5: Solve for x
    x = 676,293,378.60/29,847.92
  6. Step 6: Final answer
    x = 22,657.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.