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Finding the Fourth Proportional to 15,196.88, 20,974.13 and 8,909.25

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Solution

The fourth proportional to 15,196.88, 20,974.13 and 8,909.25 is: 12,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.88 : 20,974.13 = 8,909.25 : x
  2. Step 2: Convert to fraction form
    15,196.88/20,974.13 = 8,909.25/x
  3. Step 3: Cross multiply
    15,196.88x = 20,974.13 × 8,909.25
  4. Step 4: Simplify right side
    15,196.88x = 186,863,723.16
  5. Step 5: Solve for x
    x = 186,863,723.16/15,196.88
  6. Step 6: Final answer
    x = 12,296.19

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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.