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Finding the Fourth Proportional to 20,859.64, 31,292.87 and 6,815.59

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Solution

The fourth proportional to 20,859.64, 31,292.87 and 6,815.59 is: 10,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.64 : 31,292.87 = 6,815.59 : x
  2. Step 2: Convert to fraction form
    20,859.64/31,292.87 = 6,815.59/x
  3. Step 3: Cross multiply
    20,859.64x = 31,292.87 × 6,815.59
  4. Step 4: Simplify right side
    20,859.64x = 213,279,371.84
  5. Step 5: Solve for x
    x = 213,279,371.84/20,859.64
  6. Step 6: Final answer
    x = 10,224.50

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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.