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Finding the Fourth Proportional to 20,745.76, 31,118.62 and 6,717.50

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Solution

The fourth proportional to 20,745.76, 31,118.62 and 6,717.50 is: 10,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745.76 : 31,118.62 = 6,717.50 : x
  2. Step 2: Convert to fraction form
    20,745.76/31,118.62 = 6,717.50/x
  3. Step 3: Cross multiply
    20,745.76x = 31,118.62 × 6,717.50
  4. Step 4: Simplify right side
    20,745.76x = 209,039,329.85
  5. Step 5: Solve for x
    x = 209,039,329.85/20,745.76
  6. Step 6: Final answer
    x = 10,076.24

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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.