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Finding the Fourth Proportional to 20,459.41, 30,689.78 and 5,667.07

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Solution

The fourth proportional to 20,459.41, 30,689.78 and 5,667.07 is: 8,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.41 : 30,689.78 = 5,667.07 : x
  2. Step 2: Convert to fraction form
    20,459.41/30,689.78 = 5,667.07/x
  3. Step 3: Cross multiply
    20,459.41x = 30,689.78 × 5,667.07
  4. Step 4: Simplify right side
    20,459.41x = 173,921,131.54
  5. Step 5: Solve for x
    x = 173,921,131.54/20,459.41
  6. Step 6: Final answer
    x = 8,500.79

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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.