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Finding the Fourth Proportional to 13,382.89, 20,047.06 and 6,341.56

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Solution

The fourth proportional to 13,382.89, 20,047.06 and 6,341.56 is: 9,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.89 : 20,047.06 = 6,341.56 : x
  2. Step 2: Convert to fraction form
    13,382.89/20,047.06 = 6,341.56/x
  3. Step 3: Cross multiply
    13,382.89x = 20,047.06 × 6,341.56
  4. Step 4: Simplify right side
    13,382.89x = 127,129,591.62
  5. Step 5: Solve for x
    x = 127,129,591.62/13,382.89
  6. Step 6: Final answer
    x = 9,499.41

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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.