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Finding the Fourth Proportional to 23,466, 32,375.17 and 13,387.35

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Solution

The fourth proportional to 23,466, 32,375.17 and 13,387.35 is: 18,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466 : 32,375.17 = 13,387.35 : x
  2. Step 2: Convert to fraction form
    23,466/32,375.17 = 13,387.35/x
  3. Step 3: Cross multiply
    23,466x = 32,375.17 × 13,387.35
  4. Step 4: Simplify right side
    23,466x = 433,417,732.10
  5. Step 5: Solve for x
    x = 433,417,732.10/23,466
  6. Step 6: Final answer
    x = 18,470.03

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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.