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Finding the Fourth Proportional to 12,744.20, 17,583.54 and 7,155.08

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Solution

The fourth proportional to 12,744.20, 17,583.54 and 7,155.08 is: 9,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.20 : 17,583.54 = 7,155.08 : x
  2. Step 2: Convert to fraction form
    12,744.20/17,583.54 = 7,155.08/x
  3. Step 3: Cross multiply
    12,744.20x = 17,583.54 × 7,155.08
  4. Step 4: Simplify right side
    12,744.20x = 125,811,635.38
  5. Step 5: Solve for x
    x = 125,811,635.38/12,744.20
  6. Step 6: Final answer
    x = 9,872.07

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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.