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Finding the Fourth Proportional to 21,691.84, 32,537.76 and 6,107.44

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Solution

The fourth proportional to 21,691.84, 32,537.76 and 6,107.44 is: 9,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.84 : 32,537.76 = 6,107.44 : x
  2. Step 2: Convert to fraction form
    21,691.84/32,537.76 = 6,107.44/x
  3. Step 3: Cross multiply
    21,691.84x = 32,537.76 × 6,107.44
  4. Step 4: Simplify right side
    21,691.84x = 198,722,416.93
  5. Step 5: Solve for x
    x = 198,722,416.93/21,691.84
  6. Step 6: Final answer
    x = 9,161.16

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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.