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Finding the Fourth Proportional to 22,697.74, 34,017.85 and 10,204.44

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Solution

The fourth proportional to 22,697.74, 34,017.85 and 10,204.44 is: 15,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.74 : 34,017.85 = 10,204.44 : x
  2. Step 2: Convert to fraction form
    22,697.74/34,017.85 = 10,204.44/x
  3. Step 3: Cross multiply
    22,697.74x = 34,017.85 × 10,204.44
  4. Step 4: Simplify right side
    22,697.74x = 347,133,109.25
  5. Step 5: Solve for x
    x = 347,133,109.25/22,697.74
  6. Step 6: Final answer
    x = 15,293.73

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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.