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Finding the Fourth Proportional to 27,897.91, 41,842.25 and 9,178.18

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Solution

The fourth proportional to 27,897.91, 41,842.25 and 9,178.18 is: 13,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.91 : 41,842.25 = 9,178.18 : x
  2. Step 2: Convert to fraction form
    27,897.91/41,842.25 = 9,178.18/x
  3. Step 3: Cross multiply
    27,897.91x = 41,842.25 × 9,178.18
  4. Step 4: Simplify right side
    27,897.91x = 384,035,560.21
  5. Step 5: Solve for x
    x = 384,035,560.21/27,897.91
  6. Step 6: Final answer
    x = 13,765.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.