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Finding the Fourth Proportional to 20,454.12, 30,720.08 and 12,717

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Solution

The fourth proportional to 20,454.12, 30,720.08 and 12,717 is: 19,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.12 : 30,720.08 = 12,717 : x
  2. Step 2: Convert to fraction form
    20,454.12/30,720.08 = 12,717/x
  3. Step 3: Cross multiply
    20,454.12x = 30,720.08 × 12,717
  4. Step 4: Simplify right side
    20,454.12x = 390,667,257.36
  5. Step 5: Solve for x
    x = 390,667,257.36/20,454.12
  6. Step 6: Final answer
    x = 19,099.69

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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.