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Finding the Fourth Proportional to 21,808.32, 32,706.72 and 6,226.80

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Solution

The fourth proportional to 21,808.32, 32,706.72 and 6,226.80 is: 9,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.32 : 32,706.72 = 6,226.80 : x
  2. Step 2: Convert to fraction form
    21,808.32/32,706.72 = 6,226.80/x
  3. Step 3: Cross multiply
    21,808.32x = 32,706.72 × 6,226.80
  4. Step 4: Simplify right side
    21,808.32x = 203,658,204.10
  5. Step 5: Solve for x
    x = 203,658,204.10/21,808.32
  6. Step 6: Final answer
    x = 9,338.56

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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.