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Finding the Fourth Proportional to 20,863.71, 31,285.85 and 12,101.13

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Solution

The fourth proportional to 20,863.71, 31,285.85 and 12,101.13 is: 18,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.71 : 31,285.85 = 12,101.13 : x
  2. Step 2: Convert to fraction form
    20,863.71/31,285.85 = 12,101.13/x
  3. Step 3: Cross multiply
    20,863.71x = 31,285.85 × 12,101.13
  4. Step 4: Simplify right side
    20,863.71x = 378,594,077.50
  5. Step 5: Solve for x
    x = 378,594,077.50/20,863.71
  6. Step 6: Final answer
    x = 18,146.06

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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.