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Finding the Fourth Proportional to 12,151.32, 18,261.18 and 7,221.84

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Solution

The fourth proportional to 12,151.32, 18,261.18 and 7,221.84 is: 10,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.32 : 18,261.18 = 7,221.84 : x
  2. Step 2: Convert to fraction form
    12,151.32/18,261.18 = 7,221.84/x
  3. Step 3: Cross multiply
    12,151.32x = 18,261.18 × 7,221.84
  4. Step 4: Simplify right side
    12,151.32x = 131,879,320.17
  5. Step 5: Solve for x
    x = 131,879,320.17/12,151.32
  6. Step 6: Final answer
    x = 10,853.09

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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.