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Finding the Fourth Proportional to 20,143.88, 30,215.82 and 7,661.02

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Solution

The fourth proportional to 20,143.88, 30,215.82 and 7,661.02 is: 11,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.88 : 30,215.82 = 7,661.02 : x
  2. Step 2: Convert to fraction form
    20,143.88/30,215.82 = 7,661.02/x
  3. Step 3: Cross multiply
    20,143.88x = 30,215.82 × 7,661.02
  4. Step 4: Simplify right side
    20,143.88x = 231,484,001.34
  5. Step 5: Solve for x
    x = 231,484,001.34/20,143.88
  6. Step 6: Final answer
    x = 11,491.53

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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.