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Finding the Fourth Proportional to 27,674.86, 41,507.82 and 7,948.94

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Solution

The fourth proportional to 27,674.86, 41,507.82 and 7,948.94 is: 11,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.86 : 41,507.82 = 7,948.94 : x
  2. Step 2: Convert to fraction form
    27,674.86/41,507.82 = 7,948.94/x
  3. Step 3: Cross multiply
    27,674.86x = 41,507.82 × 7,948.94
  4. Step 4: Simplify right side
    27,674.86x = 329,943,170.71
  5. Step 5: Solve for x
    x = 329,943,170.71/27,674.86
  6. Step 6: Final answer
    x = 11,922.13

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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.