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Finding the Fourth Proportional to 21,679.49, 32,519.24 and 6,097.11

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Solution

The fourth proportional to 21,679.49, 32,519.24 and 6,097.11 is: 9,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,679.49 : 32,519.24 = 6,097.11 : x
  2. Step 2: Convert to fraction form
    21,679.49/32,519.24 = 6,097.11/x
  3. Step 3: Cross multiply
    21,679.49x = 32,519.24 × 6,097.11
  4. Step 4: Simplify right side
    21,679.49x = 198,273,352.91
  5. Step 5: Solve for x
    x = 198,273,352.91/21,679.49
  6. Step 6: Final answer
    x = 9,145.67

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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.