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Finding the Fourth Proportional to 21,813.70, 30,103.05 and 12,382.42

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Solution

The fourth proportional to 21,813.70, 30,103.05 and 12,382.42 is: 17,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.70 : 30,103.05 = 12,382.42 : x
  2. Step 2: Convert to fraction form
    21,813.70/30,103.05 = 12,382.42/x
  3. Step 3: Cross multiply
    21,813.70x = 30,103.05 × 12,382.42
  4. Step 4: Simplify right side
    21,813.70x = 372,748,608.38
  5. Step 5: Solve for x
    x = 372,748,608.38/21,813.70
  6. Step 6: Final answer
    x = 17,087.82

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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.