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Finding the Fourth Proportional to 23,809.92, 32,821.92 and 15,835.20

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Solution

The fourth proportional to 23,809.92, 32,821.92 and 15,835.20 is: 21,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.92 : 32,821.92 = 15,835.20 : x
  2. Step 2: Convert to fraction form
    23,809.92/32,821.92 = 15,835.20/x
  3. Step 3: Cross multiply
    23,809.92x = 32,821.92 × 15,835.20
  4. Step 4: Simplify right side
    23,809.92x = 519,741,667.58
  5. Step 5: Solve for x
    x = 519,741,667.58/23,809.92
  6. Step 6: Final answer
    x = 21,828.79

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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.