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Finding the Fourth Proportional to 24,472.16, 33,772.36 and 13,861.56

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Solution

The fourth proportional to 24,472.16, 33,772.36 and 13,861.56 is: 19,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.16 : 33,772.36 = 13,861.56 : x
  2. Step 2: Convert to fraction form
    24,472.16/33,772.36 = 13,861.56/x
  3. Step 3: Cross multiply
    24,472.16x = 33,772.36 × 13,861.56
  4. Step 4: Simplify right side
    24,472.16x = 468,137,594.48
  5. Step 5: Solve for x
    x = 468,137,594.48/24,472.16
  6. Step 6: Final answer
    x = 19,129.39

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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.