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Finding the Fourth Proportional to 27,004.22, 40,506.24 and 7,284.78

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Solution

The fourth proportional to 27,004.22, 40,506.24 and 7,284.78 is: 10,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.22 : 40,506.24 = 7,284.78 : x
  2. Step 2: Convert to fraction form
    27,004.22/40,506.24 = 7,284.78/x
  3. Step 3: Cross multiply
    27,004.22x = 40,506.24 × 7,284.78
  4. Step 4: Simplify right side
    27,004.22x = 295,079,047.03
  5. Step 5: Solve for x
    x = 295,079,047.03/27,004.22
  6. Step 6: Final answer
    x = 10,927.15

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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.