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Finding the Fourth Proportional to 14,711.85, 20,302.38 and 7,997.46

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Solution

The fourth proportional to 14,711.85, 20,302.38 and 7,997.46 is: 11,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.85 : 20,302.38 = 7,997.46 : x
  2. Step 2: Convert to fraction form
    14,711.85/20,302.38 = 7,997.46/x
  3. Step 3: Cross multiply
    14,711.85x = 20,302.38 × 7,997.46
  4. Step 4: Simplify right side
    14,711.85x = 162,367,471.95
  5. Step 5: Solve for x
    x = 162,367,471.95/14,711.85
  6. Step 6: Final answer
    x = 11,036.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.