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Finding the Fourth Proportional to 21,304.97, 29,401 and 11,874.14

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Solution

The fourth proportional to 21,304.97, 29,401 and 11,874.14 is: 16,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.97 : 29,401 = 11,874.14 : x
  2. Step 2: Convert to fraction form
    21,304.97/29,401 = 11,874.14/x
  3. Step 3: Cross multiply
    21,304.97x = 29,401 × 11,874.14
  4. Step 4: Simplify right side
    21,304.97x = 349,111,443.14
  5. Step 5: Solve for x
    x = 349,111,443.14/21,304.97
  6. Step 6: Final answer
    x = 16,386.39

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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.