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Finding the Fourth Proportional to 18,510, 27,767.89 and 6,027.08

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Solution

The fourth proportional to 18,510, 27,767.89 and 6,027.08 is: 9,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,510 : 27,767.89 = 6,027.08 : x
  2. Step 2: Convert to fraction form
    18,510/27,767.89 = 6,027.08/x
  3. Step 3: Cross multiply
    18,510x = 27,767.89 × 6,027.08
  4. Step 4: Simplify right side
    18,510x = 167,359,294.46
  5. Step 5: Solve for x
    x = 167,359,294.46/18,510
  6. Step 6: Final answer
    x = 9,041.56

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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.