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Finding the Fourth Proportional to 27,385.82, 41,077.19 and 9,617.30

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Solution

The fourth proportional to 27,385.82, 41,077.19 and 9,617.30 is: 14,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385.82 : 41,077.19 = 9,617.30 : x
  2. Step 2: Convert to fraction form
    27,385.82/41,077.19 = 9,617.30/x
  3. Step 3: Cross multiply
    27,385.82x = 41,077.19 × 9,617.30
  4. Step 4: Simplify right side
    27,385.82x = 395,051,405.91
  5. Step 5: Solve for x
    x = 395,051,405.91/27,385.82
  6. Step 6: Final answer
    x = 14,425.40

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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.