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Finding the Fourth Proportional to 24,022.92, 33,147.60 and 13,412.60

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Solution

The fourth proportional to 24,022.92, 33,147.60 and 13,412.60 is: 18,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.92 : 33,147.60 = 13,412.60 : x
  2. Step 2: Convert to fraction form
    24,022.92/33,147.60 = 13,412.60/x
  3. Step 3: Cross multiply
    24,022.92x = 33,147.60 × 13,412.60
  4. Step 4: Simplify right side
    24,022.92x = 444,595,499.76
  5. Step 5: Solve for x
    x = 444,595,499.76/24,022.92
  6. Step 6: Final answer
    x = 18,507.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.