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Finding the Fourth Proportional to 24,467.82, 36,701.73 and 6,935.37

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Solution

The fourth proportional to 24,467.82, 36,701.73 and 6,935.37 is: 10,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.82 : 36,701.73 = 6,935.37 : x
  2. Step 2: Convert to fraction form
    24,467.82/36,701.73 = 6,935.37/x
  3. Step 3: Cross multiply
    24,467.82x = 36,701.73 × 6,935.37
  4. Step 4: Simplify right side
    24,467.82x = 254,540,077.19
  5. Step 5: Solve for x
    x = 254,540,077.19/24,467.82
  6. Step 6: Final answer
    x = 10,403.06

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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.