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Finding the Fourth Proportional to 27,314.67, 40,972.14 and 8,593.95

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Solution

The fourth proportional to 27,314.67, 40,972.14 and 8,593.95 is: 12,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.67 : 40,972.14 = 8,593.95 : x
  2. Step 2: Convert to fraction form
    27,314.67/40,972.14 = 8,593.95/x
  3. Step 3: Cross multiply
    27,314.67x = 40,972.14 × 8,593.95
  4. Step 4: Simplify right side
    27,314.67x = 352,112,522.55
  5. Step 5: Solve for x
    x = 352,112,522.55/27,314.67
  6. Step 6: Final answer
    x = 12,890.97

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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.