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Finding the Fourth Proportional to 12,376.83, 18,568.31 and 6,139.77

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Solution

The fourth proportional to 12,376.83, 18,568.31 and 6,139.77 is: 9,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.83 : 18,568.31 = 6,139.77 : x
  2. Step 2: Convert to fraction form
    12,376.83/18,568.31 = 6,139.77/x
  3. Step 3: Cross multiply
    12,376.83x = 18,568.31 × 6,139.77
  4. Step 4: Simplify right side
    12,376.83x = 114,005,260.83
  5. Step 5: Solve for x
    x = 114,005,260.83/12,376.83
  6. Step 6: Final answer
    x = 9,211.19

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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.