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Finding the Fourth Proportional to 12,382.47, 18,571.55 and 6,140.43

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Solution

The fourth proportional to 12,382.47, 18,571.55 and 6,140.43 is: 9,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.47 : 18,571.55 = 6,140.43 : x
  2. Step 2: Convert to fraction form
    12,382.47/18,571.55 = 6,140.43/x
  3. Step 3: Cross multiply
    12,382.47x = 18,571.55 × 6,140.43
  4. Step 4: Simplify right side
    12,382.47x = 114,037,272.06
  5. Step 5: Solve for x
    x = 114,037,272.06/12,382.47
  6. Step 6: Final answer
    x = 9,209.57

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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.