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Finding the Fourth Proportional to 12,952.89, 17,874.96 and 7,647.78

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Solution

The fourth proportional to 12,952.89, 17,874.96 and 7,647.78 is: 10,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.89 : 17,874.96 = 7,647.78 : x
  2. Step 2: Convert to fraction form
    12,952.89/17,874.96 = 7,647.78/x
  3. Step 3: Cross multiply
    12,952.89x = 17,874.96 × 7,647.78
  4. Step 4: Simplify right side
    12,952.89x = 136,703,761.59
  5. Step 5: Solve for x
    x = 136,703,761.59/12,952.89
  6. Step 6: Final answer
    x = 10,553.92

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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.