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Finding the Fourth Proportional to 24,136, 36,171.12 and 12,424.48

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Solution

The fourth proportional to 24,136, 36,171.12 and 12,424.48 is: 18,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136 : 36,171.12 = 12,424.48 : x
  2. Step 2: Convert to fraction form
    24,136/36,171.12 = 12,424.48/x
  3. Step 3: Cross multiply
    24,136x = 36,171.12 × 12,424.48
  4. Step 4: Simplify right side
    24,136x = 449,407,357.02
  5. Step 5: Solve for x
    x = 449,407,357.02/24,136
  6. Step 6: Final answer
    x = 18,619.79

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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.