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Finding the Fourth Proportional to 8,229.06, 12,342.06 and 2,225.07

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Solution

The fourth proportional to 8,229.06, 12,342.06 and 2,225.07 is: 3,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.06 : 12,342.06 = 2,225.07 : x
  2. Step 2: Convert to fraction form
    8,229.06/12,342.06 = 2,225.07/x
  3. Step 3: Cross multiply
    8,229.06x = 12,342.06 × 2,225.07
  4. Step 4: Simplify right side
    8,229.06x = 27,461,947.44
  5. Step 5: Solve for x
    x = 27,461,947.44/8,229.06
  6. Step 6: Final answer
    x = 3,337.19

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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.