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Finding the Fourth Proportional to 21,405.18, 32,107.78 and 5,822.82

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Solution

The fourth proportional to 21,405.18, 32,107.78 and 5,822.82 is: 8,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.18 : 32,107.78 = 5,822.82 : x
  2. Step 2: Convert to fraction form
    21,405.18/32,107.78 = 5,822.82/x
  3. Step 3: Cross multiply
    21,405.18x = 32,107.78 × 5,822.82
  4. Step 4: Simplify right side
    21,405.18x = 186,957,823.54
  5. Step 5: Solve for x
    x = 186,957,823.54/21,405.18
  6. Step 6: Final answer
    x = 8,734.23

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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.