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Finding the Fourth Proportional to 27,020.64, 40,535.04 and 12,229.26

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Solution

The fourth proportional to 27,020.64, 40,535.04 and 12,229.26 is: 18,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020.64 : 40,535.04 = 12,229.26 : x
  2. Step 2: Convert to fraction form
    27,020.64/40,535.04 = 12,229.26/x
  3. Step 3: Cross multiply
    27,020.64x = 40,535.04 × 12,229.26
  4. Step 4: Simplify right side
    27,020.64x = 495,713,543.27
  5. Step 5: Solve for x
    x = 495,713,543.27/27,020.64
  6. Step 6: Final answer
    x = 18,345.74

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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.