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Finding the Fourth Proportional to 21,076.74, 31,630.67 and 9,983.42

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Solution

The fourth proportional to 21,076.74, 31,630.67 and 9,983.42 is: 14,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.74 : 31,630.67 = 9,983.42 : x
  2. Step 2: Convert to fraction form
    21,076.74/31,630.67 = 9,983.42/x
  3. Step 3: Cross multiply
    21,076.74x = 31,630.67 × 9,983.42
  4. Step 4: Simplify right side
    21,076.74x = 315,782,211.47
  5. Step 5: Solve for x
    x = 315,782,211.47/21,076.74
  6. Step 6: Final answer
    x = 14,982.50

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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.