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Finding the Fourth Proportional to 24,909.11, 34,374.95 and 13,578.60

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Solution

The fourth proportional to 24,909.11, 34,374.95 and 13,578.60 is: 18,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.11 : 34,374.95 = 13,578.60 : x
  2. Step 2: Convert to fraction form
    24,909.11/34,374.95 = 13,578.60/x
  3. Step 3: Cross multiply
    24,909.11x = 34,374.95 × 13,578.60
  4. Step 4: Simplify right side
    24,909.11x = 466,763,628.18
  5. Step 5: Solve for x
    x = 466,763,628.18/24,909.11
  6. Step 6: Final answer
    x = 18,738.68

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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.