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Finding the Fourth Proportional to 12,097.87, 18,148.92 and 5,524.72

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Solution

The fourth proportional to 12,097.87, 18,148.92 and 5,524.72 is: 8,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.87 : 18,148.92 = 5,524.72 : x
  2. Step 2: Convert to fraction form
    12,097.87/18,148.92 = 5,524.72/x
  3. Step 3: Cross multiply
    12,097.87x = 18,148.92 × 5,524.72
  4. Step 4: Simplify right side
    12,097.87x = 100,267,701.30
  5. Step 5: Solve for x
    x = 100,267,701.30/12,097.87
  6. Step 6: Final answer
    x = 8,288.05

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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.