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Finding the Fourth Proportional to 20,132.84, 30,190.80 and 7,645.97

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Solution

The fourth proportional to 20,132.84, 30,190.80 and 7,645.97 is: 11,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.84 : 30,190.80 = 7,645.97 : x
  2. Step 2: Convert to fraction form
    20,132.84/30,190.80 = 7,645.97/x
  3. Step 3: Cross multiply
    20,132.84x = 30,190.80 × 7,645.97
  4. Step 4: Simplify right side
    20,132.84x = 230,837,951.08
  5. Step 5: Solve for x
    x = 230,837,951.08/20,132.84
  6. Step 6: Final answer
    x = 11,465.74

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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.