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Finding the Fourth Proportional to 24,791, 34,213.41 and 15,361.40

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Solution

The fourth proportional to 24,791, 34,213.41 and 15,361.40 is: 21,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791 : 34,213.41 = 15,361.40 : x
  2. Step 2: Convert to fraction form
    24,791/34,213.41 = 15,361.40/x
  3. Step 3: Cross multiply
    24,791x = 34,213.41 × 15,361.40
  4. Step 4: Simplify right side
    24,791x = 525,565,876.37
  5. Step 5: Solve for x
    x = 525,565,876.37/24,791
  6. Step 6: Final answer
    x = 21,199.87

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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.