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Finding the Fourth Proportional to 27,972.65, 41,944.54 and 8,248.64

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Solution

The fourth proportional to 27,972.65, 41,944.54 and 8,248.64 is: 12,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972.65 : 41,944.54 = 8,248.64 : x
  2. Step 2: Convert to fraction form
    27,972.65/41,944.54 = 8,248.64/x
  3. Step 3: Cross multiply
    27,972.65x = 41,944.54 × 8,248.64
  4. Step 4: Simplify right side
    27,972.65x = 345,985,284.94
  5. Step 5: Solve for x
    x = 345,985,284.94/27,972.65
  6. Step 6: Final answer
    x = 12,368.70

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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.