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Finding the Fourth Proportional to 23,762.70, 32,781.78 and 13,687.47

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Solution

The fourth proportional to 23,762.70, 32,781.78 and 13,687.47 is: 18,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.70 : 32,781.78 = 13,687.47 : x
  2. Step 2: Convert to fraction form
    23,762.70/32,781.78 = 13,687.47/x
  3. Step 3: Cross multiply
    23,762.70x = 32,781.78 × 13,687.47
  4. Step 4: Simplify right side
    23,762.70x = 448,699,630.30
  5. Step 5: Solve for x
    x = 448,699,630.30/23,762.70
  6. Step 6: Final answer
    x = 18,882.52

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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.