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Finding the Fourth Proportional to 13,671.50, 20,493.24 and 10,377.62

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Solution

The fourth proportional to 13,671.50, 20,493.24 and 10,377.62 is: 15,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.50 : 20,493.24 = 10,377.62 : x
  2. Step 2: Convert to fraction form
    13,671.50/20,493.24 = 10,377.62/x
  3. Step 3: Cross multiply
    13,671.50x = 20,493.24 × 10,377.62
  4. Step 4: Simplify right side
    13,671.50x = 212,671,057.29
  5. Step 5: Solve for x
    x = 212,671,057.29/13,671.50
  6. Step 6: Final answer
    x = 15,555.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.