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Finding the Fourth Proportional to 20,902.50, 31,354.20 and 9,803.07

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Solution

The fourth proportional to 20,902.50, 31,354.20 and 9,803.07 is: 14,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.50 : 31,354.20 = 9,803.07 : x
  2. Step 2: Convert to fraction form
    20,902.50/31,354.20 = 9,803.07/x
  3. Step 3: Cross multiply
    20,902.50x = 31,354.20 × 9,803.07
  4. Step 4: Simplify right side
    20,902.50x = 307,367,417.39
  5. Step 5: Solve for x
    x = 307,367,417.39/20,902.50
  6. Step 6: Final answer
    x = 14,704.82

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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.