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Finding the Fourth Proportional to 25,723.69, 38,592.82 and 8,194.88

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Solution

The fourth proportional to 25,723.69, 38,592.82 and 8,194.88 is: 12,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,723.69 : 38,592.82 = 8,194.88 : x
  2. Step 2: Convert to fraction form
    25,723.69/38,592.82 = 8,194.88/x
  3. Step 3: Cross multiply
    25,723.69x = 38,592.82 × 8,194.88
  4. Step 4: Simplify right side
    25,723.69x = 316,263,528.76
  5. Step 5: Solve for x
    x = 316,263,528.76/25,723.69
  6. Step 6: Final answer
    x = 12,294.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.