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Finding the Fourth Proportional to 20,762.91, 31,140.99 and 5,968.47

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Solution

The fourth proportional to 20,762.91, 31,140.99 and 5,968.47 is: 8,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.91 : 31,140.99 = 5,968.47 : x
  2. Step 2: Convert to fraction form
    20,762.91/31,140.99 = 5,968.47/x
  3. Step 3: Cross multiply
    20,762.91x = 31,140.99 × 5,968.47
  4. Step 4: Simplify right side
    20,762.91x = 185,864,064.59
  5. Step 5: Solve for x
    x = 185,864,064.59/20,762.91
  6. Step 6: Final answer
    x = 8,951.73

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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.