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Finding the Fourth Proportional to 29,763.39, 41,069.13 and 17,824.20

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Solution

The fourth proportional to 29,763.39, 41,069.13 and 17,824.20 is: 24,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,763.39 : 41,069.13 = 17,824.20 : x
  2. Step 2: Convert to fraction form
    29,763.39/41,069.13 = 17,824.20/x
  3. Step 3: Cross multiply
    29,763.39x = 41,069.13 × 17,824.20
  4. Step 4: Simplify right side
    29,763.39x = 732,024,386.95
  5. Step 5: Solve for x
    x = 732,024,386.95/29,763.39
  6. Step 6: Final answer
    x = 24,594.79

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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.