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Finding the Fourth Proportional to 38,297.10, 57,446.04 and 11,647.41

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Solution

The fourth proportional to 38,297.10, 57,446.04 and 11,647.41 is: 17,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.10 : 57,446.04 = 11,647.41 : x
  2. Step 2: Convert to fraction form
    38,297.10/57,446.04 = 11,647.41/x
  3. Step 3: Cross multiply
    38,297.10x = 57,446.04 × 11,647.41
  4. Step 4: Simplify right side
    38,297.10x = 669,097,235.29
  5. Step 5: Solve for x
    x = 669,097,235.29/38,297.10
  6. Step 6: Final answer
    x = 17,471.22

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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.