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Finding the Fourth Proportional to 20,712.70, 31,073.10 and 8,866.45

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Solution

The fourth proportional to 20,712.70, 31,073.10 and 8,866.45 is: 13,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.70 : 31,073.10 = 8,866.45 : x
  2. Step 2: Convert to fraction form
    20,712.70/31,073.10 = 8,866.45/x
  3. Step 3: Cross multiply
    20,712.70x = 31,073.10 × 8,866.45
  4. Step 4: Simplify right side
    20,712.70x = 275,508,087.50
  5. Step 5: Solve for x
    x = 275,508,087.50/20,712.70
  6. Step 6: Final answer
    x = 13,301.41

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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.