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Finding the Fourth Proportional to 24,103.62, 36,158.91 and 7,464.93

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Solution

The fourth proportional to 24,103.62, 36,158.91 and 7,464.93 is: 11,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,103.62 : 36,158.91 = 7,464.93 : x
  2. Step 2: Convert to fraction form
    24,103.62/36,158.91 = 7,464.93/x
  3. Step 3: Cross multiply
    24,103.62x = 36,158.91 × 7,464.93
  4. Step 4: Simplify right side
    24,103.62x = 269,923,732.03
  5. Step 5: Solve for x
    x = 269,923,732.03/24,103.62
  6. Step 6: Final answer
    x = 11,198.47

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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.