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Finding the Fourth Proportional to 21,902.74, 32,866.62 and 8,576.85

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Solution

The fourth proportional to 21,902.74, 32,866.62 and 8,576.85 is: 12,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.74 : 32,866.62 = 8,576.85 : x
  2. Step 2: Convert to fraction form
    21,902.74/32,866.62 = 8,576.85/x
  3. Step 3: Cross multiply
    21,902.74x = 32,866.62 × 8,576.85
  4. Step 4: Simplify right side
    21,902.74x = 281,892,069.75
  5. Step 5: Solve for x
    x = 281,892,069.75/21,902.74
  6. Step 6: Final answer
    x = 12,870.17

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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.