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Finding the Fourth Proportional to 21,405.72, 29,542.11 and 12,331.39

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Solution

The fourth proportional to 21,405.72, 29,542.11 and 12,331.39 is: 17,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.72 : 29,542.11 = 12,331.39 : x
  2. Step 2: Convert to fraction form
    21,405.72/29,542.11 = 12,331.39/x
  3. Step 3: Cross multiply
    21,405.72x = 29,542.11 × 12,331.39
  4. Step 4: Simplify right side
    21,405.72x = 364,295,279.83
  5. Step 5: Solve for x
    x = 364,295,279.83/21,405.72
  6. Step 6: Final answer
    x = 17,018.60

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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.