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Finding the Fourth Proportional to 13,587.48, 20,375.74 and 5,684.80

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Solution

The fourth proportional to 13,587.48, 20,375.74 and 5,684.80 is: 8,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.48 : 20,375.74 = 5,684.80 : x
  2. Step 2: Convert to fraction form
    13,587.48/20,375.74 = 5,684.80/x
  3. Step 3: Cross multiply
    13,587.48x = 20,375.74 × 5,684.80
  4. Step 4: Simplify right side
    13,587.48x = 115,832,006.75
  5. Step 5: Solve for x
    x = 115,832,006.75/13,587.48
  6. Step 6: Final answer
    x = 8,524.91

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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.