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Finding the Fourth Proportional to 12,687.65, 19,031.49 and 8,014.76

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Solution

The fourth proportional to 12,687.65, 19,031.49 and 8,014.76 is: 12,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.65 : 19,031.49 = 8,014.76 : x
  2. Step 2: Convert to fraction form
    12,687.65/19,031.49 = 8,014.76/x
  3. Step 3: Cross multiply
    12,687.65x = 19,031.49 × 8,014.76
  4. Step 4: Simplify right side
    12,687.65x = 152,532,908.06
  5. Step 5: Solve for x
    x = 152,532,908.06/12,687.65
  6. Step 6: Final answer
    x = 12,022.15

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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.