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Finding the Fourth Proportional to 24,193.87, 36,276.68 and 9,385.48

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Solution

The fourth proportional to 24,193.87, 36,276.68 and 9,385.48 is: 14,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.87 : 36,276.68 = 9,385.48 : x
  2. Step 2: Convert to fraction form
    24,193.87/36,276.68 = 9,385.48/x
  3. Step 3: Cross multiply
    24,193.87x = 36,276.68 × 9,385.48
  4. Step 4: Simplify right side
    24,193.87x = 340,474,121.83
  5. Step 5: Solve for x
    x = 340,474,121.83/24,193.87
  6. Step 6: Final answer
    x = 14,072.74

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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.