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Finding the Fourth Proportional to 13,872.60, 20,805.12 and 6,079.50

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Solution

The fourth proportional to 13,872.60, 20,805.12 and 6,079.50 is: 9,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.60 : 20,805.12 = 6,079.50 : x
  2. Step 2: Convert to fraction form
    13,872.60/20,805.12 = 6,079.50/x
  3. Step 3: Cross multiply
    13,872.60x = 20,805.12 × 6,079.50
  4. Step 4: Simplify right side
    13,872.60x = 126,484,727.04
  5. Step 5: Solve for x
    x = 126,484,727.04/13,872.60
  6. Step 6: Final answer
    x = 9,117.59

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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.