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Finding the Fourth Proportional to 21,531.87, 32,297.82 and 6,740.88

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Solution

The fourth proportional to 21,531.87, 32,297.82 and 6,740.88 is: 10,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.87 : 32,297.82 = 6,740.88 : x
  2. Step 2: Convert to fraction form
    21,531.87/32,297.82 = 6,740.88/x
  3. Step 3: Cross multiply
    21,531.87x = 32,297.82 × 6,740.88
  4. Step 4: Simplify right side
    21,531.87x = 217,715,728.88
  5. Step 5: Solve for x
    x = 217,715,728.88/21,531.87
  6. Step 6: Final answer
    x = 10,111.32

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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.