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Finding the Fourth Proportional to 24,022.80, 36,007.20 and 11,548.80

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Solution

The fourth proportional to 24,022.80, 36,007.20 and 11,548.80 is: 17,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.80 : 36,007.20 = 11,548.80 : x
  2. Step 2: Convert to fraction form
    24,022.80/36,007.20 = 11,548.80/x
  3. Step 3: Cross multiply
    24,022.80x = 36,007.20 × 11,548.80
  4. Step 4: Simplify right side
    24,022.80x = 415,839,951.36
  5. Step 5: Solve for x
    x = 415,839,951.36/24,022.80
  6. Step 6: Final answer
    x = 17,310.22

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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.