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Finding the Fourth Proportional to 21,897, 30,218.58 and 11,961

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Solution

The fourth proportional to 21,897, 30,218.58 and 11,961 is: 16,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897 : 30,218.58 = 11,961 : x
  2. Step 2: Convert to fraction form
    21,897/30,218.58 = 11,961/x
  3. Step 3: Cross multiply
    21,897x = 30,218.58 × 11,961
  4. Step 4: Simplify right side
    21,897x = 361,444,435.38
  5. Step 5: Solve for x
    x = 361,444,435.38/21,897
  6. Step 6: Final answer
    x = 16,506.57

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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.