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Finding the Fourth Proportional to 24,005.49, 33,122.27 and 13,928.09

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Solution

The fourth proportional to 24,005.49, 33,122.27 and 13,928.09 is: 19,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.49 : 33,122.27 = 13,928.09 : x
  2. Step 2: Convert to fraction form
    24,005.49/33,122.27 = 13,928.09/x
  3. Step 3: Cross multiply
    24,005.49x = 33,122.27 × 13,928.09
  4. Step 4: Simplify right side
    24,005.49x = 461,329,957.56
  5. Step 5: Solve for x
    x = 461,329,957.56/24,005.49
  6. Step 6: Final answer
    x = 19,217.69

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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.