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Finding the Fourth Proportional to 21,935.48, 32,894.17 and 8,424.61

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Solution

The fourth proportional to 21,935.48, 32,894.17 and 8,424.61 is: 12,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935.48 : 32,894.17 = 8,424.61 : x
  2. Step 2: Convert to fraction form
    21,935.48/32,894.17 = 8,424.61/x
  3. Step 3: Cross multiply
    21,935.48x = 32,894.17 × 8,424.61
  4. Step 4: Simplify right side
    21,935.48x = 277,120,450.23
  5. Step 5: Solve for x
    x = 277,120,450.23/21,935.48
  6. Step 6: Final answer
    x = 12,633.44

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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.