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Finding the Fourth Proportional to 21,351.90, 29,464.40 and 11,921.06

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Solution

The fourth proportional to 21,351.90, 29,464.40 and 11,921.06 is: 16,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351.90 : 29,464.40 = 11,921.06 : x
  2. Step 2: Convert to fraction form
    21,351.90/29,464.40 = 11,921.06/x
  3. Step 3: Cross multiply
    21,351.90x = 29,464.40 × 11,921.06
  4. Step 4: Simplify right side
    21,351.90x = 351,246,880.26
  5. Step 5: Solve for x
    x = 351,246,880.26/21,351.90
  6. Step 6: Final answer
    x = 16,450.38

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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.