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Finding the Fourth Proportional to 18,009.88, 27,019.19 and 6,002

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Solution

The fourth proportional to 18,009.88, 27,019.19 and 6,002 is: 9,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,009.88 : 27,019.19 = 6,002 : x
  2. Step 2: Convert to fraction form
    18,009.88/27,019.19 = 6,002/x
  3. Step 3: Cross multiply
    18,009.88x = 27,019.19 × 6,002
  4. Step 4: Simplify right side
    18,009.88x = 162,169,178.38
  5. Step 5: Solve for x
    x = 162,169,178.38/18,009.88
  6. Step 6: Final answer
    x = 9,004.46

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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.