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Finding the Fourth Proportional to 12,089.52, 18,046.86 and 11,224.44

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Solution

The fourth proportional to 12,089.52, 18,046.86 and 11,224.44 is: 16,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.52 : 18,046.86 = 11,224.44 : x
  2. Step 2: Convert to fraction form
    12,089.52/18,046.86 = 11,224.44/x
  3. Step 3: Cross multiply
    12,089.52x = 18,046.86 × 11,224.44
  4. Step 4: Simplify right side
    12,089.52x = 202,565,897.26
  5. Step 5: Solve for x
    x = 202,565,897.26/12,089.52
  6. Step 6: Final answer
    x = 16,755.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.