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Finding the Fourth Proportional to 21,789.57, 30,062.09 and 12,228.15

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Solution

The fourth proportional to 21,789.57, 30,062.09 and 12,228.15 is: 16,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789.57 : 30,062.09 = 12,228.15 : x
  2. Step 2: Convert to fraction form
    21,789.57/30,062.09 = 12,228.15/x
  3. Step 3: Cross multiply
    21,789.57x = 30,062.09 × 12,228.15
  4. Step 4: Simplify right side
    21,789.57x = 367,603,534.38
  5. Step 5: Solve for x
    x = 367,603,534.38/21,789.57
  6. Step 6: Final answer
    x = 16,870.62

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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.