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Finding the Fourth Proportional to 12,737.72, 17,578.86 and 7,149.08

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Solution

The fourth proportional to 12,737.72, 17,578.86 and 7,149.08 is: 9,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.72 : 17,578.86 = 7,149.08 : x
  2. Step 2: Convert to fraction form
    12,737.72/17,578.86 = 7,149.08/x
  3. Step 3: Cross multiply
    12,737.72x = 17,578.86 × 7,149.08
  4. Step 4: Simplify right side
    12,737.72x = 125,672,676.45
  5. Step 5: Solve for x
    x = 125,672,676.45/12,737.72
  6. Step 6: Final answer
    x = 9,866.18

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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.