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Finding the Fourth Proportional to 12,506.38, 18,759.57 and 5,109.55

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Solution

The fourth proportional to 12,506.38, 18,759.57 and 5,109.55 is: 7,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.38 : 18,759.57 = 5,109.55 : x
  2. Step 2: Convert to fraction form
    12,506.38/18,759.57 = 5,109.55/x
  3. Step 3: Cross multiply
    12,506.38x = 18,759.57 × 5,109.55
  4. Step 4: Simplify right side
    12,506.38x = 95,852,960.89
  5. Step 5: Solve for x
    x = 95,852,960.89/12,506.38
  6. Step 6: Final answer
    x = 7,664.33

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