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Finding the Fourth Proportional to 21,969.38, 30,317.69 and 11,897.82

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Solution

The fourth proportional to 21,969.38, 30,317.69 and 11,897.82 is: 16,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.38 : 30,317.69 = 11,897.82 : x
  2. Step 2: Convert to fraction form
    21,969.38/30,317.69 = 11,897.82/x
  3. Step 3: Cross multiply
    21,969.38x = 30,317.69 × 11,897.82
  4. Step 4: Simplify right side
    21,969.38x = 360,714,358.95
  5. Step 5: Solve for x
    x = 360,714,358.95/21,969.38
  6. Step 6: Final answer
    x = 16,418.96

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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.