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Finding the Fourth Proportional to 12,057.68, 18,088.24 and 3,738.40

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Solution

The fourth proportional to 12,057.68, 18,088.24 and 3,738.40 is: 5,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.68 : 18,088.24 = 3,738.40 : x
  2. Step 2: Convert to fraction form
    12,057.68/18,088.24 = 3,738.40/x
  3. Step 3: Cross multiply
    12,057.68x = 18,088.24 × 3,738.40
  4. Step 4: Simplify right side
    12,057.68x = 67,621,076.42
  5. Step 5: Solve for x
    x = 67,621,076.42/12,057.68
  6. Step 6: Final answer
    x = 5,608.13

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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.