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Finding the Fourth Proportional to 27,597, 41,396.31 and 8,878.95

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Solution

The fourth proportional to 27,597, 41,396.31 and 8,878.95 is: 13,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597 : 41,396.31 = 8,878.95 : x
  2. Step 2: Convert to fraction form
    27,597/41,396.31 = 8,878.95/x
  3. Step 3: Cross multiply
    27,597x = 41,396.31 × 8,878.95
  4. Step 4: Simplify right side
    27,597x = 367,555,766.67
  5. Step 5: Solve for x
    x = 367,555,766.67/27,597
  6. Step 6: Final answer
    x = 13,318.69

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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.