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Finding the Fourth Proportional to 27,306.33, 40,959.51 and 7,584.88

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Solution

The fourth proportional to 27,306.33, 40,959.51 and 7,584.88 is: 11,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306.33 : 40,959.51 = 7,584.88 : x
  2. Step 2: Convert to fraction form
    27,306.33/40,959.51 = 7,584.88/x
  3. Step 3: Cross multiply
    27,306.33x = 40,959.51 × 7,584.88
  4. Step 4: Simplify right side
    27,306.33x = 310,672,968.21
  5. Step 5: Solve for x
    x = 310,672,968.21/27,306.33
  6. Step 6: Final answer
    x = 11,377.32

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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.