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Finding the Fourth Proportional to 14,566.88, 20,103.96 and 8,107.17

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Solution

The fourth proportional to 14,566.88, 20,103.96 and 8,107.17 is: 11,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.88 : 20,103.96 = 8,107.17 : x
  2. Step 2: Convert to fraction form
    14,566.88/20,103.96 = 8,107.17/x
  3. Step 3: Cross multiply
    14,566.88x = 20,103.96 × 8,107.17
  4. Step 4: Simplify right side
    14,566.88x = 162,986,221.39
  5. Step 5: Solve for x
    x = 162,986,221.39/14,566.88
  6. Step 6: Final answer
    x = 11,188.83

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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.