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Finding the Fourth Proportional to 24,441.54, 33,725.25 and 13,828.92

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Solution

The fourth proportional to 24,441.54, 33,725.25 and 13,828.92 is: 19,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.54 : 33,725.25 = 13,828.92 : x
  2. Step 2: Convert to fraction form
    24,441.54/33,725.25 = 13,828.92/x
  3. Step 3: Cross multiply
    24,441.54x = 33,725.25 × 13,828.92
  4. Step 4: Simplify right side
    24,441.54x = 466,383,784.23
  5. Step 5: Solve for x
    x = 466,383,784.23/24,441.54
  6. Step 6: Final answer
    x = 19,081.60

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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.