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Finding the Fourth Proportional to 20,874.75, 28,807.23 and 11,314.80

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Solution

The fourth proportional to 20,874.75, 28,807.23 and 11,314.80 is: 15,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.75 : 28,807.23 = 11,314.80 : x
  2. Step 2: Convert to fraction form
    20,874.75/28,807.23 = 11,314.80/x
  3. Step 3: Cross multiply
    20,874.75x = 28,807.23 × 11,314.80
  4. Step 4: Simplify right side
    20,874.75x = 325,948,046.00
  5. Step 5: Solve for x
    x = 325,948,046.00/20,874.75
  6. Step 6: Final answer
    x = 15,614.46

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1.5x scale

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.