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Finding the Fourth Proportional to 29,697.32, 40,972.25 and 17,594.02

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Solution

The fourth proportional to 29,697.32, 40,972.25 and 17,594.02 is: 24,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.32 : 40,972.25 = 17,594.02 : x
  2. Step 2: Convert to fraction form
    29,697.32/40,972.25 = 17,594.02/x
  3. Step 3: Cross multiply
    29,697.32x = 40,972.25 × 17,594.02
  4. Step 4: Simplify right side
    29,697.32x = 720,866,585.95
  5. Step 5: Solve for x
    x = 720,866,585.95/29,697.32
  6. Step 6: Final answer
    x = 24,273.79

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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.