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Finding the Fourth Proportional to 29,654.16, 40,921.55 and 17,724.08

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Solution

The fourth proportional to 29,654.16, 40,921.55 and 17,724.08 is: 24,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654.16 : 40,921.55 = 17,724.08 : x
  2. Step 2: Convert to fraction form
    29,654.16/40,921.55 = 17,724.08/x
  3. Step 3: Cross multiply
    29,654.16x = 40,921.55 × 17,724.08
  4. Step 4: Simplify right side
    29,654.16x = 725,296,532.70
  5. Step 5: Solve for x
    x = 725,296,532.70/29,654.16
  6. Step 6: Final answer
    x = 24,458.51

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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.