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Finding the Fourth Proportional to 21,185.85, 31,778.97 and 6,394.89

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Solution

The fourth proportional to 21,185.85, 31,778.97 and 6,394.89 is: 9,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.85 : 31,778.97 = 6,394.89 : x
  2. Step 2: Convert to fraction form
    21,185.85/31,778.97 = 6,394.89/x
  3. Step 3: Cross multiply
    21,185.85x = 31,778.97 × 6,394.89
  4. Step 4: Simplify right side
    21,185.85x = 203,223,017.46
  5. Step 5: Solve for x
    x = 203,223,017.46/21,185.85
  6. Step 6: Final answer
    x = 9,592.39

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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.