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Finding the Fourth Proportional to 29,374, 40,517.66 and 17,428.88

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Solution

The fourth proportional to 29,374, 40,517.66 and 17,428.88 is: 24,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,374 : 40,517.66 = 17,428.88 : x
  2. Step 2: Convert to fraction form
    29,374/40,517.66 = 17,428.88/x
  3. Step 3: Cross multiply
    29,374x = 40,517.66 × 17,428.88
  4. Step 4: Simplify right side
    29,374x = 706,177,434.02
  5. Step 5: Solve for x
    x = 706,177,434.02/29,374
  6. Step 6: Final answer
    x = 24,040.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.