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Finding the Fourth Proportional to 20,472.19, 30,709.17 and 7,146.52

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Solution

The fourth proportional to 20,472.19, 30,709.17 and 7,146.52 is: 10,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.19 : 30,709.17 = 7,146.52 : x
  2. Step 2: Convert to fraction form
    20,472.19/30,709.17 = 7,146.52/x
  3. Step 3: Cross multiply
    20,472.19x = 30,709.17 × 7,146.52
  4. Step 4: Simplify right side
    20,472.19x = 219,463,620.82
  5. Step 5: Solve for x
    x = 219,463,620.82/20,472.19
  6. Step 6: Final answer
    x = 10,720.09

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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.