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Finding the Fourth Proportional to 13,666.73, 20,493 and 6,264.81

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Solution

The fourth proportional to 13,666.73, 20,493 and 6,264.81 is: 9,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.73 : 20,493 = 6,264.81 : x
  2. Step 2: Convert to fraction form
    13,666.73/20,493 = 6,264.81/x
  3. Step 3: Cross multiply
    13,666.73x = 20,493 × 6,264.81
  4. Step 4: Simplify right side
    13,666.73x = 128,384,751.33
  5. Step 5: Solve for x
    x = 128,384,751.33/13,666.73
  6. Step 6: Final answer
    x = 9,393.97

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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.