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Finding the Fourth Proportional to 13,667.46, 20,499.14 and 3,805.72

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Solution

The fourth proportional to 13,667.46, 20,499.14 and 3,805.72 is: 5,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.46 : 20,499.14 = 3,805.72 : x
  2. Step 2: Convert to fraction form
    13,667.46/20,499.14 = 3,805.72/x
  3. Step 3: Cross multiply
    13,667.46x = 20,499.14 × 3,805.72
  4. Step 4: Simplify right side
    13,667.46x = 78,013,987.08
  5. Step 5: Solve for x
    x = 78,013,987.08/13,667.46
  6. Step 6: Final answer
    x = 5,708.01

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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.