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Finding the Fourth Proportional to 17,872.33, 24,663.81 and 9,914.53

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Solution

The fourth proportional to 17,872.33, 24,663.81 and 9,914.53 is: 13,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.33 : 24,663.81 = 9,914.53 : x
  2. Step 2: Convert to fraction form
    17,872.33/24,663.81 = 9,914.53/x
  3. Step 3: Cross multiply
    17,872.33x = 24,663.81 × 9,914.53
  4. Step 4: Simplify right side
    17,872.33x = 244,530,084.16
  5. Step 5: Solve for x
    x = 244,530,084.16/17,872.33
  6. Step 6: Final answer
    x = 13,682.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.