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Finding the Fourth Proportional to 24,022.40, 36,033.60 and 16,149.20

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Solution

The fourth proportional to 24,022.40, 36,033.60 and 16,149.20 is: 24,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.40 : 36,033.60 = 16,149.20 : x
  2. Step 2: Convert to fraction form
    24,022.40/36,033.60 = 16,149.20/x
  3. Step 3: Cross multiply
    24,022.40x = 36,033.60 × 16,149.20
  4. Step 4: Simplify right side
    24,022.40x = 581,913,813.12
  5. Step 5: Solve for x
    x = 581,913,813.12/24,022.40
  6. Step 6: Final answer
    x = 24,223.80

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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.