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Finding the Fourth Proportional to 21,380.10, 32,061.96 and 8,225.34

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Solution

The fourth proportional to 21,380.10, 32,061.96 and 8,225.34 is: 12,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.10 : 32,061.96 = 8,225.34 : x
  2. Step 2: Convert to fraction form
    21,380.10/32,061.96 = 8,225.34/x
  3. Step 3: Cross multiply
    21,380.10x = 32,061.96 × 8,225.34
  4. Step 4: Simplify right side
    21,380.10x = 263,720,522.07
  5. Step 5: Solve for x
    x = 263,720,522.07/21,380.10
  6. Step 6: Final answer
    x = 12,334.86

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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.