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Finding the Fourth Proportional to 13,788.73, 20,657.17 and 6,846.49

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Solution

The fourth proportional to 13,788.73, 20,657.17 and 6,846.49 is: 10,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.73 : 20,657.17 = 6,846.49 : x
  2. Step 2: Convert to fraction form
    13,788.73/20,657.17 = 6,846.49/x
  3. Step 3: Cross multiply
    13,788.73x = 20,657.17 × 6,846.49
  4. Step 4: Simplify right side
    13,788.73x = 141,429,107.83
  5. Step 5: Solve for x
    x = 141,429,107.83/13,788.73
  6. Step 6: Final answer
    x = 10,256.86

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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.