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Finding the Fourth Proportional to 13,487.86, 20,231.98 and 5,168.30

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Solution

The fourth proportional to 13,487.86, 20,231.98 and 5,168.30 is: 7,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.86 : 20,231.98 = 5,168.30 : x
  2. Step 2: Convert to fraction form
    13,487.86/20,231.98 = 5,168.30/x
  3. Step 3: Cross multiply
    13,487.86x = 20,231.98 × 5,168.30
  4. Step 4: Simplify right side
    13,487.86x = 104,564,828.15
  5. Step 5: Solve for x
    x = 104,564,828.15/13,487.86
  6. Step 6: Final answer
    x = 7,752.52

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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.