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Finding the Fourth Proportional to 43,683.84, 65,517.12 and 12,522.24

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Solution

The fourth proportional to 43,683.84, 65,517.12 and 12,522.24 is: 18,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683.84 : 65,517.12 = 12,522.24 : x
  2. Step 2: Convert to fraction form
    43,683.84/65,517.12 = 12,522.24/x
  3. Step 3: Cross multiply
    43,683.84x = 65,517.12 × 12,522.24
  4. Step 4: Simplify right side
    43,683.84x = 820,421,100.75
  5. Step 5: Solve for x
    x = 820,421,100.75/43,683.84
  6. Step 6: Final answer
    x = 18,780.88

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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.