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Finding the Fourth Proportional to 12,188.48, 18,297.84 and 12,132.32

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Solution

The fourth proportional to 12,188.48, 18,297.84 and 12,132.32 is: 18,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.48 : 18,297.84 = 12,132.32 : x
  2. Step 2: Convert to fraction form
    12,188.48/18,297.84 = 12,132.32/x
  3. Step 3: Cross multiply
    12,188.48x = 18,297.84 × 12,132.32
  4. Step 4: Simplify right side
    12,188.48x = 221,995,250.19
  5. Step 5: Solve for x
    x = 221,995,250.19/12,188.48
  6. Step 6: Final answer
    x = 18,213.53

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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.