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Finding the Fourth Proportional to 12,674.68, 19,013.13 and 3,314.66

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Solution

The fourth proportional to 12,674.68, 19,013.13 and 3,314.66 is: 4,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.68 : 19,013.13 = 3,314.66 : x
  2. Step 2: Convert to fraction form
    12,674.68/19,013.13 = 3,314.66/x
  3. Step 3: Cross multiply
    12,674.68x = 19,013.13 × 3,314.66
  4. Step 4: Simplify right side
    12,674.68x = 63,022,053.20
  5. Step 5: Solve for x
    x = 63,022,053.20/12,674.68
  6. Step 6: Final answer
    x = 4,972.28

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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.