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Finding the Fourth Proportional to 14,915.82, 20,584.17 and 8,201.82

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Solution

The fourth proportional to 14,915.82, 20,584.17 and 8,201.82 is: 11,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.82 : 20,584.17 = 8,201.82 : x
  2. Step 2: Convert to fraction form
    14,915.82/20,584.17 = 8,201.82/x
  3. Step 3: Cross multiply
    14,915.82x = 20,584.17 × 8,201.82
  4. Step 4: Simplify right side
    14,915.82x = 168,827,657.19
  5. Step 5: Solve for x
    x = 168,827,657.19/14,915.82
  6. Step 6: Final answer
    x = 11,318.70

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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.