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Finding the Fourth Proportional to 18,108.21, 27,169.83 and 9,778.47

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Solution

The fourth proportional to 18,108.21, 27,169.83 and 9,778.47 is: 14,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,108.21 : 27,169.83 = 9,778.47 : x
  2. Step 2: Convert to fraction form
    18,108.21/27,169.83 = 9,778.47/x
  3. Step 3: Cross multiply
    18,108.21x = 27,169.83 × 9,778.47
  4. Step 4: Simplify right side
    18,108.21x = 265,679,418.50
  5. Step 5: Solve for x
    x = 265,679,418.50/18,108.21
  6. Step 6: Final answer
    x = 14,671.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.