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Finding the Fourth Proportional to 12,832.93, 19,251.15 and 6,254.56

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Solution

The fourth proportional to 12,832.93, 19,251.15 and 6,254.56 is: 9,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.93 : 19,251.15 = 6,254.56 : x
  2. Step 2: Convert to fraction form
    12,832.93/19,251.15 = 6,254.56/x
  3. Step 3: Cross multiply
    12,832.93x = 19,251.15 × 6,254.56
  4. Step 4: Simplify right side
    12,832.93x = 120,407,472.74
  5. Step 5: Solve for x
    x = 120,407,472.74/12,832.93
  6. Step 6: Final answer
    x = 9,382.70

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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.