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Finding the Fourth Proportional to 12,648.98, 17,462.45 and 7,614.43

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Solution

The fourth proportional to 12,648.98, 17,462.45 and 7,614.43 is: 10,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.98 : 17,462.45 = 7,614.43 : x
  2. Step 2: Convert to fraction form
    12,648.98/17,462.45 = 7,614.43/x
  3. Step 3: Cross multiply
    12,648.98x = 17,462.45 × 7,614.43
  4. Step 4: Simplify right side
    12,648.98x = 132,966,578.53
  5. Step 5: Solve for x
    x = 132,966,578.53/12,648.98
  6. Step 6: Final answer
    x = 10,512.04

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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.