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Finding the Fourth Proportional to 29,778.56, 41,082.69 and 17,024.89

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Solution

The fourth proportional to 29,778.56, 41,082.69 and 17,024.89 is: 23,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778.56 : 41,082.69 = 17,024.89 : x
  2. Step 2: Convert to fraction form
    29,778.56/41,082.69 = 17,024.89/x
  3. Step 3: Cross multiply
    29,778.56x = 41,082.69 × 17,024.89
  4. Step 4: Simplify right side
    29,778.56x = 699,428,111.60
  5. Step 5: Solve for x
    x = 699,428,111.60/29,778.56
  6. Step 6: Final answer
    x = 23,487.64

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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.