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Finding the Fourth Proportional to 24,136.74, 36,205.16 and 10,089.09

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Solution

The fourth proportional to 24,136.74, 36,205.16 and 10,089.09 is: 15,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136.74 : 36,205.16 = 10,089.09 : x
  2. Step 2: Convert to fraction form
    24,136.74/36,205.16 = 10,089.09/x
  3. Step 3: Cross multiply
    24,136.74x = 36,205.16 × 10,089.09
  4. Step 4: Simplify right side
    24,136.74x = 365,277,067.26
  5. Step 5: Solve for x
    x = 365,277,067.26/24,136.74
  6. Step 6: Final answer
    x = 15,133.65

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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.