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Finding the Fourth Proportional to 12,816.87, 17,680.14 and 7,510.65

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Solution

The fourth proportional to 12,816.87, 17,680.14 and 7,510.65 is: 10,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.87 : 17,680.14 = 7,510.65 : x
  2. Step 2: Convert to fraction form
    12,816.87/17,680.14 = 7,510.65/x
  3. Step 3: Cross multiply
    12,816.87x = 17,680.14 × 7,510.65
  4. Step 4: Simplify right side
    12,816.87x = 132,789,343.49
  5. Step 5: Solve for x
    x = 132,789,343.49/12,816.87
  6. Step 6: Final answer
    x = 10,360.51

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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.