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Finding the Fourth Proportional to 15,105, 22,662.32 and 6,337.56

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Solution

The fourth proportional to 15,105, 22,662.32 and 6,337.56 is: 9,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105 : 22,662.32 = 6,337.56 : x
  2. Step 2: Convert to fraction form
    15,105/22,662.32 = 6,337.56/x
  3. Step 3: Cross multiply
    15,105x = 22,662.32 × 6,337.56
  4. Step 4: Simplify right side
    15,105x = 143,623,781.05
  5. Step 5: Solve for x
    x = 143,623,781.05/15,105
  6. Step 6: Final answer
    x = 9,508.36

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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.