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Finding the Fourth Proportional to 12,232.40, 16,882.08 and 8,454.40

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Solution

The fourth proportional to 12,232.40, 16,882.08 and 8,454.40 is: 11,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.40 : 16,882.08 = 8,454.40 : x
  2. Step 2: Convert to fraction form
    12,232.40/16,882.08 = 8,454.40/x
  3. Step 3: Cross multiply
    12,232.40x = 16,882.08 × 8,454.40
  4. Step 4: Simplify right side
    12,232.40x = 142,727,857.15
  5. Step 5: Solve for x
    x = 142,727,857.15/12,232.40
  6. Step 6: Final answer
    x = 11,668.02

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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.