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Finding the Fourth Proportional to 22,102.53, 33,141.67 and 8,762

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Solution

The fourth proportional to 22,102.53, 33,141.67 and 8,762 is: 13,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.53 : 33,141.67 = 8,762 : x
  2. Step 2: Convert to fraction form
    22,102.53/33,141.67 = 8,762/x
  3. Step 3: Cross multiply
    22,102.53x = 33,141.67 × 8,762
  4. Step 4: Simplify right side
    22,102.53x = 290,387,268.73
  5. Step 5: Solve for x
    x = 290,387,268.73/22,102.53
  6. Step 6: Final answer
    x = 13,138.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.