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Finding the Fourth Proportional to 21,942.68, 30,280.77 and 11,871.11

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Solution

The fourth proportional to 21,942.68, 30,280.77 and 11,871.11 is: 16,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.68 : 30,280.77 = 11,871.11 : x
  2. Step 2: Convert to fraction form
    21,942.68/30,280.77 = 11,871.11/x
  3. Step 3: Cross multiply
    21,942.68x = 30,280.77 × 11,871.11
  4. Step 4: Simplify right side
    21,942.68x = 359,466,427.26
  5. Step 5: Solve for x
    x = 359,466,427.26/21,942.68
  6. Step 6: Final answer
    x = 16,382.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.