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Finding the Fourth Proportional to 12,453.90, 17,186.07 and 6,864.78

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Solution

The fourth proportional to 12,453.90, 17,186.07 and 6,864.78 is: 9,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.90 : 17,186.07 = 6,864.78 : x
  2. Step 2: Convert to fraction form
    12,453.90/17,186.07 = 6,864.78/x
  3. Step 3: Cross multiply
    12,453.90x = 17,186.07 × 6,864.78
  4. Step 4: Simplify right side
    12,453.90x = 117,978,589.61
  5. Step 5: Solve for x
    x = 117,978,589.61/12,453.90
  6. Step 6: Final answer
    x = 9,473.22

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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.