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Finding the Fourth Proportional to 22,904.36, 34,350.16 and 8,109.30

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Solution

The fourth proportional to 22,904.36, 34,350.16 and 8,109.30 is: 12,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.36 : 34,350.16 = 8,109.30 : x
  2. Step 2: Convert to fraction form
    22,904.36/34,350.16 = 8,109.30/x
  3. Step 3: Cross multiply
    22,904.36x = 34,350.16 × 8,109.30
  4. Step 4: Simplify right side
    22,904.36x = 278,555,752.49
  5. Step 5: Solve for x
    x = 278,555,752.49/22,904.36
  6. Step 6: Final answer
    x = 12,161.69

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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.