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Finding the Fourth Proportional to 12,102.21, 18,141.84 and 5,524.47

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Solution

The fourth proportional to 12,102.21, 18,141.84 and 5,524.47 is: 8,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.21 : 18,141.84 = 5,524.47 : x
  2. Step 2: Convert to fraction form
    12,102.21/18,141.84 = 5,524.47/x
  3. Step 3: Cross multiply
    12,102.21x = 18,141.84 × 5,524.47
  4. Step 4: Simplify right side
    12,102.21x = 100,224,050.82
  5. Step 5: Solve for x
    x = 100,224,050.82/12,102.21
  6. Step 6: Final answer
    x = 8,281.47

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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.