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Finding the Fourth Proportional to 12,007.70, 18,011.55 and 8,249.30

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Solution

The fourth proportional to 12,007.70, 18,011.55 and 8,249.30 is: 12,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.70 : 18,011.55 = 8,249.30 : x
  2. Step 2: Convert to fraction form
    12,007.70/18,011.55 = 8,249.30/x
  3. Step 3: Cross multiply
    12,007.70x = 18,011.55 × 8,249.30
  4. Step 4: Simplify right side
    12,007.70x = 148,582,679.42
  5. Step 5: Solve for x
    x = 148,582,679.42/12,007.70
  6. Step 6: Final answer
    x = 12,373.95

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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.