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Finding the Fourth Proportional to 20,933.49, 31,404.86 and 6,897.85

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Solution

The fourth proportional to 20,933.49, 31,404.86 and 6,897.85 is: 10,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,933.49 : 31,404.86 = 6,897.85 : x
  2. Step 2: Convert to fraction form
    20,933.49/31,404.86 = 6,897.85/x
  3. Step 3: Cross multiply
    20,933.49x = 31,404.86 × 6,897.85
  4. Step 4: Simplify right side
    20,933.49x = 216,626,013.55
  5. Step 5: Solve for x
    x = 216,626,013.55/20,933.49
  6. Step 6: Final answer
    x = 10,348.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.