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Finding the Fourth Proportional to 13,382.53, 20,073.80 and 5,587.09

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Solution

The fourth proportional to 13,382.53, 20,073.80 and 5,587.09 is: 8,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.53 : 20,073.80 = 5,587.09 : x
  2. Step 2: Convert to fraction form
    13,382.53/20,073.80 = 5,587.09/x
  3. Step 3: Cross multiply
    13,382.53x = 20,073.80 × 5,587.09
  4. Step 4: Simplify right side
    13,382.53x = 112,154,099.31
  5. Step 5: Solve for x
    x = 112,154,099.31/13,382.53
  6. Step 6: Final answer
    x = 8,380.64

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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.