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Finding the Fourth Proportional to 24,400.14, 33,672.39 and 13,222.14

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Solution

The fourth proportional to 24,400.14, 33,672.39 and 13,222.14 is: 18,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.14 : 33,672.39 = 13,222.14 : x
  2. Step 2: Convert to fraction form
    24,400.14/33,672.39 = 13,222.14/x
  3. Step 3: Cross multiply
    24,400.14x = 33,672.39 × 13,222.14
  4. Step 4: Simplify right side
    24,400.14x = 445,221,054.71
  5. Step 5: Solve for x
    x = 445,221,054.71/24,400.14
  6. Step 6: Final answer
    x = 18,246.66

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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.