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Finding the Fourth Proportional to 12,660.57, 17,470.89 and 8,186.67

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Solution

The fourth proportional to 12,660.57, 17,470.89 and 8,186.67 is: 11,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.57 : 17,470.89 = 8,186.67 : x
  2. Step 2: Convert to fraction form
    12,660.57/17,470.89 = 8,186.67/x
  3. Step 3: Cross multiply
    12,660.57x = 17,470.89 × 8,186.67
  4. Step 4: Simplify right side
    12,660.57x = 143,028,411.04
  5. Step 5: Solve for x
    x = 143,028,411.04/12,660.57
  6. Step 6: Final answer
    x = 11,297.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.