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Finding the Fourth Proportional to 22,901.12, 34,355.52 and 8,109.44

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Solution

The fourth proportional to 22,901.12, 34,355.52 and 8,109.44 is: 12,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.12 : 34,355.52 = 8,109.44 : x
  2. Step 2: Convert to fraction form
    22,901.12/34,355.52 = 8,109.44/x
  3. Step 3: Cross multiply
    22,901.12x = 34,355.52 × 8,109.44
  4. Step 4: Simplify right side
    22,901.12x = 278,604,028.11
  5. Step 5: Solve for x
    x = 278,604,028.11/22,901.12
  6. Step 6: Final answer
    x = 12,165.52

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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.