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Finding the Fourth Proportional to 38,422.56, 57,638.64 and 12,123.44

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Solution

The fourth proportional to 38,422.56, 57,638.64 and 12,123.44 is: 18,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.56 : 57,638.64 = 12,123.44 : x
  2. Step 2: Convert to fraction form
    38,422.56/57,638.64 = 12,123.44/x
  3. Step 3: Cross multiply
    38,422.56x = 57,638.64 × 12,123.44
  4. Step 4: Simplify right side
    38,422.56x = 698,778,593.72
  5. Step 5: Solve for x
    x = 698,778,593.72/38,422.56
  6. Step 6: Final answer
    x = 18,186.67

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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.