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Finding the Fourth Proportional to 27,574.49, 41,368.67 and 8,856.20

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Solution

The fourth proportional to 27,574.49, 41,368.67 and 8,856.20 is: 13,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.49 : 41,368.67 = 8,856.20 : x
  2. Step 2: Convert to fraction form
    27,574.49/41,368.67 = 8,856.20/x
  3. Step 3: Cross multiply
    27,574.49x = 41,368.67 × 8,856.20
  4. Step 4: Simplify right side
    27,574.49x = 366,369,215.25
  5. Step 5: Solve for x
    x = 366,369,215.25/27,574.49
  6. Step 6: Final answer
    x = 13,286.53

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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.