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Finding the Fourth Proportional to 21,734.37, 32,616.18 and 7,694.35

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Solution

The fourth proportional to 21,734.37, 32,616.18 and 7,694.35 is: 11,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.37 : 32,616.18 = 7,694.35 : x
  2. Step 2: Convert to fraction form
    21,734.37/32,616.18 = 7,694.35/x
  3. Step 3: Cross multiply
    21,734.37x = 32,616.18 × 7,694.35
  4. Step 4: Simplify right side
    21,734.37x = 250,960,223.04
  5. Step 5: Solve for x
    x = 250,960,223.04/21,734.37
  6. Step 6: Final answer
    x = 11,546.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.