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Finding the Fourth Proportional to 21,414.40, 32,170.86 and 15,189.82

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Solution

The fourth proportional to 21,414.40, 32,170.86 and 15,189.82 is: 22,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.40 : 32,170.86 = 15,189.82 : x
  2. Step 2: Convert to fraction form
    21,414.40/32,170.86 = 15,189.82/x
  3. Step 3: Cross multiply
    21,414.40x = 32,170.86 × 15,189.82
  4. Step 4: Simplify right side
    21,414.40x = 488,669,572.65
  5. Step 5: Solve for x
    x = 488,669,572.65/21,414.40
  6. Step 6: Final answer
    x = 22,819.67

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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.