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Finding the Fourth Proportional to 17,324.96, 23,905.38 and 10,248.80

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Solution

The fourth proportional to 17,324.96, 23,905.38 and 10,248.80 is: 14,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.96 : 23,905.38 = 10,248.80 : x
  2. Step 2: Convert to fraction form
    17,324.96/23,905.38 = 10,248.80/x
  3. Step 3: Cross multiply
    17,324.96x = 23,905.38 × 10,248.80
  4. Step 4: Simplify right side
    17,324.96x = 245,001,458.54
  5. Step 5: Solve for x
    x = 245,001,458.54/17,324.96
  6. Step 6: Final answer
    x = 14,141.53

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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.