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Finding the Fourth Proportional to 12,237.13, 16,887.24 and 7,269.13

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Solution

The fourth proportional to 12,237.13, 16,887.24 and 7,269.13 is: 10,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.13 : 16,887.24 = 7,269.13 : x
  2. Step 2: Convert to fraction form
    12,237.13/16,887.24 = 7,269.13/x
  3. Step 3: Cross multiply
    12,237.13x = 16,887.24 × 7,269.13
  4. Step 4: Simplify right side
    12,237.13x = 122,755,422.12
  5. Step 5: Solve for x
    x = 122,755,422.12/12,237.13
  6. Step 6: Final answer
    x = 10,031.39

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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.