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Finding the Fourth Proportional to 29,866.86, 41,207.13 and 17,289.18

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Solution

The fourth proportional to 29,866.86, 41,207.13 and 17,289.18 is: 23,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,866.86 : 41,207.13 = 17,289.18 : x
  2. Step 2: Convert to fraction form
    29,866.86/41,207.13 = 17,289.18/x
  3. Step 3: Cross multiply
    29,866.86x = 41,207.13 × 17,289.18
  4. Step 4: Simplify right side
    29,866.86x = 712,437,487.85
  5. Step 5: Solve for x
    x = 712,437,487.85/29,866.86
  6. Step 6: Final answer
    x = 23,853.78

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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.