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Finding the Fourth Proportional to 20,143.68, 30,215.52 and 7,660.74

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Solution

The fourth proportional to 20,143.68, 30,215.52 and 7,660.74 is: 11,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.68 : 30,215.52 = 7,660.74 : x
  2. Step 2: Convert to fraction form
    20,143.68/30,215.52 = 7,660.74/x
  3. Step 3: Cross multiply
    20,143.68x = 30,215.52 × 7,660.74
  4. Step 4: Simplify right side
    20,143.68x = 231,473,242.68
  5. Step 5: Solve for x
    x = 231,473,242.68/20,143.68
  6. Step 6: Final answer
    x = 11,491.11

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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.