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Finding the Fourth Proportional to 21,381.40, 32,077.14 and 8,234.20

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Solution

The fourth proportional to 21,381.40, 32,077.14 and 8,234.20 is: 12,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.40 : 32,077.14 = 8,234.20 : x
  2. Step 2: Convert to fraction form
    21,381.40/32,077.14 = 8,234.20/x
  3. Step 3: Cross multiply
    21,381.40x = 32,077.14 × 8,234.20
  4. Step 4: Simplify right side
    21,381.40x = 264,129,586.19
  5. Step 5: Solve for x
    x = 264,129,586.19/21,381.40
  6. Step 6: Final answer
    x = 12,353.24

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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.