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Finding the Fourth Proportional to 18,001.98, 27,003.24 and 8,141.58

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Solution

The fourth proportional to 18,001.98, 27,003.24 and 8,141.58 is: 12,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,001.98 : 27,003.24 = 8,141.58 : x
  2. Step 2: Convert to fraction form
    18,001.98/27,003.24 = 8,141.58/x
  3. Step 3: Cross multiply
    18,001.98x = 27,003.24 × 8,141.58
  4. Step 4: Simplify right side
    18,001.98x = 219,849,038.72
  5. Step 5: Solve for x
    x = 219,849,038.72/18,001.98
  6. Step 6: Final answer
    x = 12,212.49

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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.