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Finding the Fourth Proportional to 12,186.48, 18,254.19 and 7,781.49

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Solution

The fourth proportional to 12,186.48, 18,254.19 and 7,781.49 is: 11,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.48 : 18,254.19 = 7,781.49 : x
  2. Step 2: Convert to fraction form
    12,186.48/18,254.19 = 7,781.49/x
  3. Step 3: Cross multiply
    12,186.48x = 18,254.19 × 7,781.49
  4. Step 4: Simplify right side
    12,186.48x = 142,044,796.94
  5. Step 5: Solve for x
    x = 142,044,796.94/12,186.48
  6. Step 6: Final answer
    x = 11,655.93

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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.