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Finding the Fourth Proportional to 20,502.58, 30,753.90 and 5,711.54

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Solution

The fourth proportional to 20,502.58, 30,753.90 and 5,711.54 is: 8,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.58 : 30,753.90 = 5,711.54 : x
  2. Step 2: Convert to fraction form
    20,502.58/30,753.90 = 5,711.54/x
  3. Step 3: Cross multiply
    20,502.58x = 30,753.90 × 5,711.54
  4. Step 4: Simplify right side
    20,502.58x = 175,652,130.01
  5. Step 5: Solve for x
    x = 175,652,130.01/20,502.58
  6. Step 6: Final answer
    x = 8,567.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.