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Finding the Fourth Proportional to 12,149.67, 18,223.83 and 5,126.70

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Solution

The fourth proportional to 12,149.67, 18,223.83 and 5,126.70 is: 7,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.67 : 18,223.83 = 5,126.70 : x
  2. Step 2: Convert to fraction form
    12,149.67/18,223.83 = 5,126.70/x
  3. Step 3: Cross multiply
    12,149.67x = 18,223.83 × 5,126.70
  4. Step 4: Simplify right side
    12,149.67x = 93,428,109.26
  5. Step 5: Solve for x
    x = 93,428,109.26/12,149.67
  6. Step 6: Final answer
    x = 7,689.77

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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.