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Finding the Fourth Proportional to 13,487.64, 20,231.46 and 5,696.52

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Solution

The fourth proportional to 13,487.64, 20,231.46 and 5,696.52 is: 8,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.64 : 20,231.46 = 5,696.52 : x
  2. Step 2: Convert to fraction form
    13,487.64/20,231.46 = 5,696.52/x
  3. Step 3: Cross multiply
    13,487.64x = 20,231.46 × 5,696.52
  4. Step 4: Simplify right side
    13,487.64x = 115,248,916.52
  5. Step 5: Solve for x
    x = 115,248,916.52/13,487.64
  6. Step 6: Final answer
    x = 8,544.78

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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.