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Finding the Fourth Proportional to 14,855.62, 20,496.36 and 8,482

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Solution

The fourth proportional to 14,855.62, 20,496.36 and 8,482 is: 11,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.62 : 20,496.36 = 8,482 : x
  2. Step 2: Convert to fraction form
    14,855.62/20,496.36 = 8,482/x
  3. Step 3: Cross multiply
    14,855.62x = 20,496.36 × 8,482
  4. Step 4: Simplify right side
    14,855.62x = 173,850,125.52
  5. Step 5: Solve for x
    x = 173,850,125.52/14,855.62
  6. Step 6: Final answer
    x = 11,702.65

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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.