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Finding the Fourth Proportional to 17,913.72, 24,721.22 and 10,361.76

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Solution

The fourth proportional to 17,913.72, 24,721.22 and 10,361.76 is: 14,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913.72 : 24,721.22 = 10,361.76 : x
  2. Step 2: Convert to fraction form
    17,913.72/24,721.22 = 10,361.76/x
  3. Step 3: Cross multiply
    17,913.72x = 24,721.22 × 10,361.76
  4. Step 4: Simplify right side
    17,913.72x = 256,155,348.55
  5. Step 5: Solve for x
    x = 256,155,348.55/17,913.72
  6. Step 6: Final answer
    x = 14,299.39

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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.