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Finding the Fourth Proportional to 21,532.38, 32,302.17 and 6,738.36

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Solution

The fourth proportional to 21,532.38, 32,302.17 and 6,738.36 is: 10,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.38 : 32,302.17 = 6,738.36 : x
  2. Step 2: Convert to fraction form
    21,532.38/32,302.17 = 6,738.36/x
  3. Step 3: Cross multiply
    21,532.38x = 32,302.17 × 6,738.36
  4. Step 4: Simplify right side
    21,532.38x = 217,663,650.24
  5. Step 5: Solve for x
    x = 217,663,650.24/21,532.38
  6. Step 6: Final answer
    x = 10,108.67

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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.