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Finding the Fourth Proportional to 21,982.38, 30,333.24 and 12,421.24

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Solution

The fourth proportional to 21,982.38, 30,333.24 and 12,421.24 is: 17,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.38 : 30,333.24 = 12,421.24 : x
  2. Step 2: Convert to fraction form
    21,982.38/30,333.24 = 12,421.24/x
  3. Step 3: Cross multiply
    21,982.38x = 30,333.24 × 12,421.24
  4. Step 4: Simplify right side
    21,982.38x = 376,776,454.02
  5. Step 5: Solve for x
    x = 376,776,454.02/21,982.38
  6. Step 6: Final answer
    x = 17,139.93

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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.