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Finding the Fourth Proportional to 12,744.15, 17,586.11 and 7,078.46

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Solution

The fourth proportional to 12,744.15, 17,586.11 and 7,078.46 is: 9,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.15 : 17,586.11 = 7,078.46 : x
  2. Step 2: Convert to fraction form
    12,744.15/17,586.11 = 7,078.46/x
  3. Step 3: Cross multiply
    12,744.15x = 17,586.11 × 7,078.46
  4. Step 4: Simplify right side
    12,744.15x = 124,482,452.87
  5. Step 5: Solve for x
    x = 124,482,452.87/12,744.15
  6. Step 6: Final answer
    x = 9,767.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.