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Finding the Fourth Proportional to 24,941.82, 37,404.54 and 8,297.28

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Solution

The fourth proportional to 24,941.82, 37,404.54 and 8,297.28 is: 12,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941.82 : 37,404.54 = 8,297.28 : x
  2. Step 2: Convert to fraction form
    24,941.82/37,404.54 = 8,297.28/x
  3. Step 3: Cross multiply
    24,941.82x = 37,404.54 × 8,297.28
  4. Step 4: Simplify right side
    24,941.82x = 310,355,941.65
  5. Step 5: Solve for x
    x = 310,355,941.65/24,941.82
  6. Step 6: Final answer
    x = 12,443.20

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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.