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Finding the Fourth Proportional to 24,194.60, 36,243.30 and 13,794.20

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Solution

The fourth proportional to 24,194.60, 36,243.30 and 13,794.20 is: 20,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.60 : 36,243.30 = 13,794.20 : x
  2. Step 2: Convert to fraction form
    24,194.60/36,243.30 = 13,794.20/x
  3. Step 3: Cross multiply
    24,194.60x = 36,243.30 × 13,794.20
  4. Step 4: Simplify right side
    24,194.60x = 499,947,328.86
  5. Step 5: Solve for x
    x = 499,947,328.86/24,194.60
  6. Step 6: Final answer
    x = 20,663.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.