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Finding the Fourth Proportional to 21,122.50, 31,690.76 and 7,976.02

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Solution

The fourth proportional to 21,122.50, 31,690.76 and 7,976.02 is: 11,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.50 : 31,690.76 = 7,976.02 : x
  2. Step 2: Convert to fraction form
    21,122.50/31,690.76 = 7,976.02/x
  3. Step 3: Cross multiply
    21,122.50x = 31,690.76 × 7,976.02
  4. Step 4: Simplify right side
    21,122.50x = 252,766,135.58
  5. Step 5: Solve for x
    x = 252,766,135.58/21,122.50
  6. Step 6: Final answer
    x = 11,966.68

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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.