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Finding the Fourth Proportional to 24,778.96, 34,157.21 and 15,201.11

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Solution

The fourth proportional to 24,778.96, 34,157.21 and 15,201.11 is: 20,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.96 : 34,157.21 = 15,201.11 : x
  2. Step 2: Convert to fraction form
    24,778.96/34,157.21 = 15,201.11/x
  3. Step 3: Cross multiply
    24,778.96x = 34,157.21 × 15,201.11
  4. Step 4: Simplify right side
    24,778.96x = 519,227,629.90
  5. Step 5: Solve for x
    x = 519,227,629.90/24,778.96
  6. Step 6: Final answer
    x = 20,954.38

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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.