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Finding the Fourth Proportional to 21,160.72, 31,708.20 and 8,005.96

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Solution

The fourth proportional to 21,160.72, 31,708.20 and 8,005.96 is: 11,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.72 : 31,708.20 = 8,005.96 : x
  2. Step 2: Convert to fraction form
    21,160.72/31,708.20 = 8,005.96/x
  3. Step 3: Cross multiply
    21,160.72x = 31,708.20 × 8,005.96
  4. Step 4: Simplify right side
    21,160.72x = 253,854,580.87
  5. Step 5: Solve for x
    x = 253,854,580.87/21,160.72
  6. Step 6: Final answer
    x = 11,996.50

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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.