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Finding the Fourth Proportional to 23,734, 32,752.92 and 14,304.52

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Solution

The fourth proportional to 23,734, 32,752.92 and 14,304.52 is: 19,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734 : 32,752.92 = 14,304.52 : x
  2. Step 2: Convert to fraction form
    23,734/32,752.92 = 14,304.52/x
  3. Step 3: Cross multiply
    23,734x = 32,752.92 × 14,304.52
  4. Step 4: Simplify right side
    23,734x = 468,514,799.20
  5. Step 5: Solve for x
    x = 468,514,799.20/23,734
  6. Step 6: Final answer
    x = 19,740.24

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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.