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Finding the Fourth Proportional to 38,297.36, 57,446.08 and 12,004.16

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Solution

The fourth proportional to 38,297.36, 57,446.08 and 12,004.16 is: 18,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.36 : 57,446.08 = 12,004.16 : x
  2. Step 2: Convert to fraction form
    38,297.36/57,446.08 = 12,004.16/x
  3. Step 3: Cross multiply
    38,297.36x = 57,446.08 × 12,004.16
  4. Step 4: Simplify right side
    38,297.36x = 689,591,618.45
  5. Step 5: Solve for x
    x = 689,591,618.45/38,297.36
  6. Step 6: Final answer
    x = 18,006.24

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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.