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Finding the Fourth Proportional to 21,610.50, 29,822.61 and 12,179.22

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Solution

The fourth proportional to 21,610.50, 29,822.61 and 12,179.22 is: 16,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.50 : 29,822.61 = 12,179.22 : x
  2. Step 2: Convert to fraction form
    21,610.50/29,822.61 = 12,179.22/x
  3. Step 3: Cross multiply
    21,610.50x = 29,822.61 × 12,179.22
  4. Step 4: Simplify right side
    21,610.50x = 363,216,128.16
  5. Step 5: Solve for x
    x = 363,216,128.16/21,610.50
  6. Step 6: Final answer
    x = 16,807.39

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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.