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Finding the Fourth Proportional to 20,847, 31,265.58 and 6,803.40

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Solution

The fourth proportional to 20,847, 31,265.58 and 6,803.40 is: 10,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847 : 31,265.58 = 6,803.40 : x
  2. Step 2: Convert to fraction form
    20,847/31,265.58 = 6,803.40/x
  3. Step 3: Cross multiply
    20,847x = 31,265.58 × 6,803.40
  4. Step 4: Simplify right side
    20,847x = 212,712,246.97
  5. Step 5: Solve for x
    x = 212,712,246.97/20,847
  6. Step 6: Final answer
    x = 10,203.49

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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.