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Finding the Fourth Proportional to 13,591.98, 20,382.49 and 4,228.89

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Solution

The fourth proportional to 13,591.98, 20,382.49 and 4,228.89 is: 6,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.98 : 20,382.49 = 4,228.89 : x
  2. Step 2: Convert to fraction form
    13,591.98/20,382.49 = 4,228.89/x
  3. Step 3: Cross multiply
    13,591.98x = 20,382.49 × 4,228.89
  4. Step 4: Simplify right side
    13,591.98x = 86,195,308.14
  5. Step 5: Solve for x
    x = 86,195,308.14/13,591.98
  6. Step 6: Final answer
    x = 6,341.63

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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.