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Finding the Fourth Proportional to 27,264.18, 40,896.32 and 7,542.81

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Solution

The fourth proportional to 27,264.18, 40,896.32 and 7,542.81 is: 11,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264.18 : 40,896.32 = 7,542.81 : x
  2. Step 2: Convert to fraction form
    27,264.18/40,896.32 = 7,542.81/x
  3. Step 3: Cross multiply
    27,264.18x = 40,896.32 × 7,542.81
  4. Step 4: Simplify right side
    27,264.18x = 308,473,171.46
  5. Step 5: Solve for x
    x = 308,473,171.46/27,264.18
  6. Step 6: Final answer
    x = 11,314.23

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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.