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Finding the Fourth Proportional to 12,507.57, 18,747.86 and 8,128.17

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Solution

The fourth proportional to 12,507.57, 18,747.86 and 8,128.17 is: 12,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.57 : 18,747.86 = 8,128.17 : x
  2. Step 2: Convert to fraction form
    12,507.57/18,747.86 = 8,128.17/x
  3. Step 3: Cross multiply
    12,507.57x = 18,747.86 × 8,128.17
  4. Step 4: Simplify right side
    12,507.57x = 152,385,752.58
  5. Step 5: Solve for x
    x = 152,385,752.58/12,507.57
  6. Step 6: Final answer
    x = 12,183.48

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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.