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Finding the Fourth Proportional to 20,011.31, 30,032.45 and 7,542.67

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Solution

The fourth proportional to 20,011.31, 30,032.45 and 7,542.67 is: 11,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011.31 : 30,032.45 = 7,542.67 : x
  2. Step 2: Convert to fraction form
    20,011.31/30,032.45 = 7,542.67/x
  3. Step 3: Cross multiply
    20,011.31x = 30,032.45 × 7,542.67
  4. Step 4: Simplify right side
    20,011.31x = 226,524,916.04
  5. Step 5: Solve for x
    x = 226,524,916.04/20,011.31
  6. Step 6: Final answer
    x = 11,319.85

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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.