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Finding the Fourth Proportional to 21,579.38, 29,782.14 and 12,149.72

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Solution

The fourth proportional to 21,579.38, 29,782.14 and 12,149.72 is: 16,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,579.38 : 29,782.14 = 12,149.72 : x
  2. Step 2: Convert to fraction form
    21,579.38/29,782.14 = 12,149.72/x
  3. Step 3: Cross multiply
    21,579.38x = 29,782.14 × 12,149.72
  4. Step 4: Simplify right side
    21,579.38x = 361,844,662.00
  5. Step 5: Solve for x
    x = 361,844,662.00/21,579.38
  6. Step 6: Final answer
    x = 16,768.07

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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.