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Finding the Fourth Proportional to 24,971.75, 34,461.03 and 13,793.75

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Solution

The fourth proportional to 24,971.75, 34,461.03 and 13,793.75 is: 19,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.75 : 34,461.03 = 13,793.75 : x
  2. Step 2: Convert to fraction form
    24,971.75/34,461.03 = 13,793.75/x
  3. Step 3: Cross multiply
    24,971.75x = 34,461.03 × 13,793.75
  4. Step 4: Simplify right side
    24,971.75x = 475,346,832.56
  5. Step 5: Solve for x
    x = 475,346,832.56/24,971.75
  6. Step 6: Final answer
    x = 19,035.38

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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.