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Finding the Fourth Proportional to 20,146.32, 30,214.91 and 7,661.91

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Solution

The fourth proportional to 20,146.32, 30,214.91 and 7,661.91 is: 11,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.32 : 30,214.91 = 7,661.91 : x
  2. Step 2: Convert to fraction form
    20,146.32/30,214.91 = 7,661.91/x
  3. Step 3: Cross multiply
    20,146.32x = 30,214.91 × 7,661.91
  4. Step 4: Simplify right side
    20,146.32x = 231,503,882.77
  5. Step 5: Solve for x
    x = 231,503,882.77/20,146.32
  6. Step 6: Final answer
    x = 11,491.13

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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.