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Finding the Fourth Proportional to 24,432.32, 33,711 and 13,819.64

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Solution

The fourth proportional to 24,432.32, 33,711 and 13,819.64 is: 19,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432.32 : 33,711 = 13,819.64 : x
  2. Step 2: Convert to fraction form
    24,432.32/33,711 = 13,819.64/x
  3. Step 3: Cross multiply
    24,432.32x = 33,711 × 13,819.64
  4. Step 4: Simplify right side
    24,432.32x = 465,873,884.04
  5. Step 5: Solve for x
    x = 465,873,884.04/24,432.32
  6. Step 6: Final answer
    x = 19,067.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.