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Finding the Fourth Proportional to 18,038.25, 27,057.78 and 6,192

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Solution

The fourth proportional to 18,038.25, 27,057.78 and 6,192 is: 9,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,038.25 : 27,057.78 = 6,192 : x
  2. Step 2: Convert to fraction form
    18,038.25/27,057.78 = 6,192/x
  3. Step 3: Cross multiply
    18,038.25x = 27,057.78 × 6,192
  4. Step 4: Simplify right side
    18,038.25x = 167,541,773.76
  5. Step 5: Solve for x
    x = 167,541,773.76/18,038.25
  6. Step 6: Final answer
    x = 9,288.14

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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.