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Finding the Fourth Proportional to 23,714.90, 32,724.90 and 13,104.92

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Solution

The fourth proportional to 23,714.90, 32,724.90 and 13,104.92 is: 18,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.90 : 32,724.90 = 13,104.92 : x
  2. Step 2: Convert to fraction form
    23,714.90/32,724.90 = 13,104.92/x
  3. Step 3: Cross multiply
    23,714.90x = 32,724.90 × 13,104.92
  4. Step 4: Simplify right side
    23,714.90x = 428,857,196.51
  5. Step 5: Solve for x
    x = 428,857,196.51/23,714.90
  6. Step 6: Final answer
    x = 18,083.87

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1.5x scale

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.