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Finding the Fourth Proportional to 24,819.12, 34,251.84 and 13,641.12

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Solution

The fourth proportional to 24,819.12, 34,251.84 and 13,641.12 is: 18,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.12 : 34,251.84 = 13,641.12 : x
  2. Step 2: Convert to fraction form
    24,819.12/34,251.84 = 13,641.12/x
  3. Step 3: Cross multiply
    24,819.12x = 34,251.84 × 13,641.12
  4. Step 4: Simplify right side
    24,819.12x = 467,233,459.66
  5. Step 5: Solve for x
    x = 467,233,459.66/24,819.12
  6. Step 6: Final answer
    x = 18,825.54

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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.