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Finding the Fourth Proportional to 14,679.84, 20,255.28 and 8,713.38

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Solution

The fourth proportional to 14,679.84, 20,255.28 and 8,713.38 is: 12,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,679.84 : 20,255.28 = 8,713.38 : x
  2. Step 2: Convert to fraction form
    14,679.84/20,255.28 = 8,713.38/x
  3. Step 3: Cross multiply
    14,679.84x = 20,255.28 × 8,713.38
  4. Step 4: Simplify right side
    14,679.84x = 176,491,951.65
  5. Step 5: Solve for x
    x = 176,491,951.65/14,679.84
  6. Step 6: Final answer
    x = 12,022.74

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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.