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Finding the Fourth Proportional to 13,363.68, 20,046 and 4,003.80

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Solution

The fourth proportional to 13,363.68, 20,046 and 4,003.80 is: 6,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,363.68 : 20,046 = 4,003.80 : x
  2. Step 2: Convert to fraction form
    13,363.68/20,046 = 4,003.80/x
  3. Step 3: Cross multiply
    13,363.68x = 20,046 × 4,003.80
  4. Step 4: Simplify right side
    13,363.68x = 80,260,174.80
  5. Step 5: Solve for x
    x = 80,260,174.80/13,363.68
  6. Step 6: Final answer
    x = 6,005.84

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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.