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Finding the Fourth Proportional to 21,778.47, 32,672.57 and 6,197.31

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Solution

The fourth proportional to 21,778.47, 32,672.57 and 6,197.31 is: 9,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.47 : 32,672.57 = 6,197.31 : x
  2. Step 2: Convert to fraction form
    21,778.47/32,672.57 = 6,197.31/x
  3. Step 3: Cross multiply
    21,778.47x = 32,672.57 × 6,197.31
  4. Step 4: Simplify right side
    21,778.47x = 202,482,013.80
  5. Step 5: Solve for x
    x = 202,482,013.80/21,778.47
  6. Step 6: Final answer
    x = 9,297.35

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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.