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Finding the Fourth Proportional to 24,909.64, 34,374.44 and 13,578.92

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Solution

The fourth proportional to 24,909.64, 34,374.44 and 13,578.92 is: 18,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.64 : 34,374.44 = 13,578.92 : x
  2. Step 2: Convert to fraction form
    24,909.64/34,374.44 = 13,578.92/x
  3. Step 3: Cross multiply
    24,909.64x = 34,374.44 × 13,578.92
  4. Step 4: Simplify right side
    24,909.64x = 466,767,770.80
  5. Step 5: Solve for x
    x = 466,767,770.80/24,909.64
  6. Step 6: Final answer
    x = 18,738.44

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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.