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Finding the Fourth Proportional to 21,408.16, 32,116.97 and 6,414.67

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Solution

The fourth proportional to 21,408.16, 32,116.97 and 6,414.67 is: 9,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.16 : 32,116.97 = 6,414.67 : x
  2. Step 2: Convert to fraction form
    21,408.16/32,116.97 = 6,414.67/x
  3. Step 3: Cross multiply
    21,408.16x = 32,116.97 × 6,414.67
  4. Step 4: Simplify right side
    21,408.16x = 206,019,820.13
  5. Step 5: Solve for x
    x = 206,019,820.13/21,408.16
  6. Step 6: Final answer
    x = 9,623.43

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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.