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Finding the Fourth Proportional to 13,693.68, 20,532.65 and 5,363.96

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Solution

The fourth proportional to 13,693.68, 20,532.65 and 5,363.96 is: 8,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.68 : 20,532.65 = 5,363.96 : x
  2. Step 2: Convert to fraction form
    13,693.68/20,532.65 = 5,363.96/x
  3. Step 3: Cross multiply
    13,693.68x = 20,532.65 × 5,363.96
  4. Step 4: Simplify right side
    13,693.68x = 110,136,183.81
  5. Step 5: Solve for x
    x = 110,136,183.81/13,693.68
  6. Step 6: Final answer
    x = 8,042.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.