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Finding the Fourth Proportional to 12,149.52, 18,182.97 and 7,705.05

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Solution

The fourth proportional to 12,149.52, 18,182.97 and 7,705.05 is: 11,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.52 : 18,182.97 = 7,705.05 : x
  2. Step 2: Convert to fraction form
    12,149.52/18,182.97 = 7,705.05/x
  3. Step 3: Cross multiply
    12,149.52x = 18,182.97 × 7,705.05
  4. Step 4: Simplify right side
    12,149.52x = 140,100,693.00
  5. Step 5: Solve for x
    x = 140,100,693.00/12,149.52
  6. Step 6: Final answer
    x = 11,531.38

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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.