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Finding the Fourth Proportional to 12,911.22, 17,800.38 and 11,599.02

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Solution

The fourth proportional to 12,911.22, 17,800.38 and 11,599.02 is: 15,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.22 : 17,800.38 = 11,599.02 : x
  2. Step 2: Convert to fraction form
    12,911.22/17,800.38 = 11,599.02/x
  3. Step 3: Cross multiply
    12,911.22x = 17,800.38 × 11,599.02
  4. Step 4: Simplify right side
    12,911.22x = 206,466,963.63
  5. Step 5: Solve for x
    x = 206,466,963.63/12,911.22
  6. Step 6: Final answer
    x = 15,991.28

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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.