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Finding the Fourth Proportional to 27,009.41, 40,514.12 and 7,287.97

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Solution

The fourth proportional to 27,009.41, 40,514.12 and 7,287.97 is: 10,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.41 : 40,514.12 = 7,287.97 : x
  2. Step 2: Convert to fraction form
    27,009.41/40,514.12 = 7,287.97/x
  3. Step 3: Cross multiply
    27,009.41x = 40,514.12 × 7,287.97
  4. Step 4: Simplify right side
    27,009.41x = 295,265,452.13
  5. Step 5: Solve for x
    x = 295,265,452.13/27,009.41
  6. Step 6: Final answer
    x = 10,931.95

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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.