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Finding the Fourth Proportional to 24,617.72, 36,936.61 and 11,462.01

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Solution

The fourth proportional to 24,617.72, 36,936.61 and 11,462.01 is: 17,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.72 : 36,936.61 = 11,462.01 : x
  2. Step 2: Convert to fraction form
    24,617.72/36,936.61 = 11,462.01/x
  3. Step 3: Cross multiply
    24,617.72x = 36,936.61 × 11,462.01
  4. Step 4: Simplify right side
    24,617.72x = 423,367,626.02
  5. Step 5: Solve for x
    x = 423,367,626.02/24,617.72
  6. Step 6: Final answer
    x = 17,197.68

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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.