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Finding the Fourth Proportional to 27,317.30, 40,974.33 and 9,546.71

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Solution

The fourth proportional to 27,317.30, 40,974.33 and 9,546.71 is: 14,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,317.30 : 40,974.33 = 9,546.71 : x
  2. Step 2: Convert to fraction form
    27,317.30/40,974.33 = 9,546.71/x
  3. Step 3: Cross multiply
    27,317.30x = 40,974.33 × 9,546.71
  4. Step 4: Simplify right side
    27,317.30x = 391,170,045.95
  5. Step 5: Solve for x
    x = 391,170,045.95/27,317.30
  6. Step 6: Final answer
    x = 14,319.50

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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.