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Finding the Fourth Proportional to 27,374.67, 41,068.16 and 9,844.50

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Solution

The fourth proportional to 27,374.67, 41,068.16 and 9,844.50 is: 14,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374.67 : 41,068.16 = 9,844.50 : x
  2. Step 2: Convert to fraction form
    27,374.67/41,068.16 = 9,844.50/x
  3. Step 3: Cross multiply
    27,374.67x = 41,068.16 × 9,844.50
  4. Step 4: Simplify right side
    27,374.67x = 404,295,451.90
  5. Step 5: Solve for x
    x = 404,295,451.90/27,374.67
  6. Step 6: Final answer
    x = 14,768.96

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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.