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Finding the Fourth Proportional to 27,182.32, 40,766.08 and 7,456.18

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Solution

The fourth proportional to 27,182.32, 40,766.08 and 7,456.18 is: 11,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.32 : 40,766.08 = 7,456.18 : x
  2. Step 2: Convert to fraction form
    27,182.32/40,766.08 = 7,456.18/x
  3. Step 3: Cross multiply
    27,182.32x = 40,766.08 × 7,456.18
  4. Step 4: Simplify right side
    27,182.32x = 303,959,230.37
  5. Step 5: Solve for x
    x = 303,959,230.37/27,182.32
  6. Step 6: Final answer
    x = 11,182.24

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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.