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Finding the Fourth Proportional to 29,713.50, 41,006.45 and 17,138.25

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Solution

The fourth proportional to 29,713.50, 41,006.45 and 17,138.25 is: 23,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.50 : 41,006.45 = 17,138.25 : x
  2. Step 2: Convert to fraction form
    29,713.50/41,006.45 = 17,138.25/x
  3. Step 3: Cross multiply
    29,713.50x = 41,006.45 × 17,138.25
  4. Step 4: Simplify right side
    29,713.50x = 702,778,834.56
  5. Step 5: Solve for x
    x = 702,778,834.56/29,713.50
  6. Step 6: Final answer
    x = 23,651.84

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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.