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Finding the Fourth Proportional to 23,174.67, 32,003.70 and 19,797.78

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Solution

The fourth proportional to 23,174.67, 32,003.70 and 19,797.78 is: 27,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.67 : 32,003.70 = 19,797.78 : x
  2. Step 2: Convert to fraction form
    23,174.67/32,003.70 = 19,797.78/x
  3. Step 3: Cross multiply
    23,174.67x = 32,003.70 × 19,797.78
  4. Step 4: Simplify right side
    23,174.67x = 633,602,211.79
  5. Step 5: Solve for x
    x = 633,602,211.79/23,174.67
  6. Step 6: Final answer
    x = 27,340.29

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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.