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Finding the Fourth Proportional to 12,149.48, 18,233.10 and 7,777.64

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Solution

The fourth proportional to 12,149.48, 18,233.10 and 7,777.64 is: 11,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.48 : 18,233.10 = 7,777.64 : x
  2. Step 2: Convert to fraction form
    12,149.48/18,233.10 = 7,777.64/x
  3. Step 3: Cross multiply
    12,149.48x = 18,233.10 × 7,777.64
  4. Step 4: Simplify right side
    12,149.48x = 141,810,487.88
  5. Step 5: Solve for x
    x = 141,810,487.88/12,149.48
  6. Step 6: Final answer
    x = 11,672.14

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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.