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Finding the Fourth Proportional to 14,716.80, 20,311.20 and 11,174.40

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Solution

The fourth proportional to 14,716.80, 20,311.20 and 11,174.40 is: 15,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.80 : 20,311.20 = 11,174.40 : x
  2. Step 2: Convert to fraction form
    14,716.80/20,311.20 = 11,174.40/x
  3. Step 3: Cross multiply
    14,716.80x = 20,311.20 × 11,174.40
  4. Step 4: Simplify right side
    14,716.80x = 226,965,473.28
  5. Step 5: Solve for x
    x = 226,965,473.28/14,716.80
  6. Step 6: Final answer
    x = 15,422.20

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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.