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Finding the Fourth Proportional to 38,667.30, 57,993.63 and 13,706.34

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Solution

The fourth proportional to 38,667.30, 57,993.63 and 13,706.34 is: 20,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,667.30 : 57,993.63 = 13,706.34 : x
  2. Step 2: Convert to fraction form
    38,667.30/57,993.63 = 13,706.34/x
  3. Step 3: Cross multiply
    38,667.30x = 57,993.63 × 13,706.34
  4. Step 4: Simplify right side
    38,667.30x = 794,880,410.61
  5. Step 5: Solve for x
    x = 794,880,410.61/38,667.30
  6. Step 6: Final answer
    x = 20,556.92

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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.