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Finding the Fourth Proportional to 12,502.05, 18,754.08 and 4,182.12

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Solution

The fourth proportional to 12,502.05, 18,754.08 and 4,182.12 is: 6,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.05 : 18,754.08 = 4,182.12 : x
  2. Step 2: Convert to fraction form
    12,502.05/18,754.08 = 4,182.12/x
  3. Step 3: Cross multiply
    12,502.05x = 18,754.08 × 4,182.12
  4. Step 4: Simplify right side
    12,502.05x = 78,431,813.05
  5. Step 5: Solve for x
    x = 78,431,813.05/12,502.05
  6. Step 6: Final answer
    x = 6,273.52

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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.