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Finding the Fourth Proportional to 43,614.50, 65,421.74 and 12,024.80

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Solution

The fourth proportional to 43,614.50, 65,421.74 and 12,024.80 is: 18,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614.50 : 65,421.74 = 12,024.80 : x
  2. Step 2: Convert to fraction form
    43,614.50/65,421.74 = 12,024.80/x
  3. Step 3: Cross multiply
    43,614.50x = 65,421.74 × 12,024.80
  4. Step 4: Simplify right side
    43,614.50x = 786,683,287.44
  5. Step 5: Solve for x
    x = 786,683,287.44/43,614.50
  6. Step 6: Final answer
    x = 18,037.20

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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.