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Finding the Fourth Proportional to 29,564.30, 40,799.15 and 17,634.56

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Solution

The fourth proportional to 29,564.30, 40,799.15 and 17,634.56 is: 24,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564.30 : 40,799.15 = 17,634.56 : x
  2. Step 2: Convert to fraction form
    29,564.30/40,799.15 = 17,634.56/x
  3. Step 3: Cross multiply
    29,564.30x = 40,799.15 × 17,634.56
  4. Step 4: Simplify right side
    29,564.30x = 719,474,766.46
  5. Step 5: Solve for x
    x = 719,474,766.46/29,564.30
  6. Step 6: Final answer
    x = 24,335.94

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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.