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Finding the Fourth Proportional to 17,667.12, 24,391.52 and 13,418.40

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Solution

The fourth proportional to 17,667.12, 24,391.52 and 13,418.40 is: 18,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.12 : 24,391.52 = 13,418.40 : x
  2. Step 2: Convert to fraction form
    17,667.12/24,391.52 = 13,418.40/x
  3. Step 3: Cross multiply
    17,667.12x = 24,391.52 × 13,418.40
  4. Step 4: Simplify right side
    17,667.12x = 327,295,171.97
  5. Step 5: Solve for x
    x = 327,295,171.97/17,667.12
  6. Step 6: Final answer
    x = 18,525.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.