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Finding the Fourth Proportional to 20,983.78, 31,464.16 and 8,320.71

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Solution

The fourth proportional to 20,983.78, 31,464.16 and 8,320.71 is: 12,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.78 : 31,464.16 = 8,320.71 : x
  2. Step 2: Convert to fraction form
    20,983.78/31,464.16 = 8,320.71/x
  3. Step 3: Cross multiply
    20,983.78x = 31,464.16 × 8,320.71
  4. Step 4: Simplify right side
    20,983.78x = 261,804,150.75
  5. Step 5: Solve for x
    x = 261,804,150.75/20,983.78
  6. Step 6: Final answer
    x = 12,476.50

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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.