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Finding the Fourth Proportional to 24,400.81, 33,673.14 and 13,222.81

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Solution

The fourth proportional to 24,400.81, 33,673.14 and 13,222.81 is: 18,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.81 : 33,673.14 = 13,222.81 : x
  2. Step 2: Convert to fraction form
    24,400.81/33,673.14 = 13,222.81/x
  3. Step 3: Cross multiply
    24,400.81x = 33,673.14 × 13,222.81
  4. Step 4: Simplify right side
    24,400.81x = 445,253,532.32
  5. Step 5: Solve for x
    x = 445,253,532.32/24,400.81
  6. Step 6: Final answer
    x = 18,247.49

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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.