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Finding the Fourth Proportional to 23,634.38, 32,616.15 and 13,024.70

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Solution

The fourth proportional to 23,634.38, 32,616.15 and 13,024.70 is: 17,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.38 : 32,616.15 = 13,024.70 : x
  2. Step 2: Convert to fraction form
    23,634.38/32,616.15 = 13,024.70/x
  3. Step 3: Cross multiply
    23,634.38x = 32,616.15 × 13,024.70
  4. Step 4: Simplify right side
    23,634.38x = 424,815,568.91
  5. Step 5: Solve for x
    x = 424,815,568.91/23,634.38
  6. Step 6: Final answer
    x = 17,974.47

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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.