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Finding the Fourth Proportional to 20,320.60, 30,461.76 and 7,164.56

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Solution

The fourth proportional to 20,320.60, 30,461.76 and 7,164.56 is: 10,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320.60 : 30,461.76 = 7,164.56 : x
  2. Step 2: Convert to fraction form
    20,320.60/30,461.76 = 7,164.56/x
  3. Step 3: Cross multiply
    20,320.60x = 30,461.76 × 7,164.56
  4. Step 4: Simplify right side
    20,320.60x = 218,245,107.23
  5. Step 5: Solve for x
    x = 218,245,107.23/20,320.60
  6. Step 6: Final answer
    x = 10,740.09

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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.