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Finding the Fourth Proportional to 18,061.76, 27,084 and 7,667.84

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Solution

The fourth proportional to 18,061.76, 27,084 and 7,667.84 is: 11,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,061.76 : 27,084 = 7,667.84 : x
  2. Step 2: Convert to fraction form
    18,061.76/27,084 = 7,667.84/x
  3. Step 3: Cross multiply
    18,061.76x = 27,084 × 7,667.84
  4. Step 4: Simplify right side
    18,061.76x = 207,675,778.56
  5. Step 5: Solve for x
    x = 207,675,778.56/18,061.76
  6. Step 6: Final answer
    x = 11,498.09

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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.