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Finding the Fourth Proportional to 18,385.72, 27,571.91 and 7,856.46

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Solution

The fourth proportional to 18,385.72, 27,571.91 and 7,856.46 is: 11,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,385.72 : 27,571.91 = 7,856.46 : x
  2. Step 2: Convert to fraction form
    18,385.72/27,571.91 = 7,856.46/x
  3. Step 3: Cross multiply
    18,385.72x = 27,571.91 × 7,856.46
  4. Step 4: Simplify right side
    18,385.72x = 216,617,568.76
  5. Step 5: Solve for x
    x = 216,617,568.76/18,385.72
  6. Step 6: Final answer
    x = 11,781.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.