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Finding the Fourth Proportional to 23,753.92, 32,780.28 and 13,142.92

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Solution

The fourth proportional to 23,753.92, 32,780.28 and 13,142.92 is: 18,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.92 : 32,780.28 = 13,142.92 : x
  2. Step 2: Convert to fraction form
    23,753.92/32,780.28 = 13,142.92/x
  3. Step 3: Cross multiply
    23,753.92x = 32,780.28 × 13,142.92
  4. Step 4: Simplify right side
    23,753.92x = 430,828,597.62
  5. Step 5: Solve for x
    x = 430,828,597.62/23,753.92
  6. Step 6: Final answer
    x = 18,137.16

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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.