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Finding the Fourth Proportional to 27,022.76, 40,540.04 and 8,304.13

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Solution

The fourth proportional to 27,022.76, 40,540.04 and 8,304.13 is: 12,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.76 : 40,540.04 = 8,304.13 : x
  2. Step 2: Convert to fraction form
    27,022.76/40,540.04 = 8,304.13/x
  3. Step 3: Cross multiply
    27,022.76x = 40,540.04 × 8,304.13
  4. Step 4: Simplify right side
    27,022.76x = 336,649,518.14
  5. Step 5: Solve for x
    x = 336,649,518.14/27,022.76
  6. Step 6: Final answer
    x = 12,458.00

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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.