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Finding the Fourth Proportional to 24,032.84, 33,164.97 and 13,422.62

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Solution

The fourth proportional to 24,032.84, 33,164.97 and 13,422.62 is: 18,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.84 : 33,164.97 = 13,422.62 : x
  2. Step 2: Convert to fraction form
    24,032.84/33,164.97 = 13,422.62/x
  3. Step 3: Cross multiply
    24,032.84x = 33,164.97 × 13,422.62
  4. Step 4: Simplify right side
    24,032.84x = 445,160,789.62
  5. Step 5: Solve for x
    x = 445,160,789.62/24,032.84
  6. Step 6: Final answer
    x = 18,523.02

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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.