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Finding the Fourth Proportional to 20,140.98, 30,199.28 and 7,661.87

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Solution

The fourth proportional to 20,140.98, 30,199.28 and 7,661.87 is: 11,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.98 : 30,199.28 = 7,661.87 : x
  2. Step 2: Convert to fraction form
    20,140.98/30,199.28 = 7,661.87/x
  3. Step 3: Cross multiply
    20,140.98x = 30,199.28 × 7,661.87
  4. Step 4: Simplify right side
    20,140.98x = 231,382,839.56
  5. Step 5: Solve for x
    x = 231,382,839.56/20,140.98
  6. Step 6: Final answer
    x = 11,488.16

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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.