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Finding the Fourth Proportional to 16,360, 24,540.24 and 4,048

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Solution

The fourth proportional to 16,360, 24,540.24 and 4,048 is: 6,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,360 : 24,540.24 = 4,048 : x
  2. Step 2: Convert to fraction form
    16,360/24,540.24 = 4,048/x
  3. Step 3: Cross multiply
    16,360x = 24,540.24 × 4,048
  4. Step 4: Simplify right side
    16,360x = 99,338,891.52
  5. Step 5: Solve for x
    x = 99,338,891.52/16,360
  6. Step 6: Final answer
    x = 6,072.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.