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Finding the Fourth Proportional to 21,876.08, 32,819.31 and 7,084.98

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Solution

The fourth proportional to 21,876.08, 32,819.31 and 7,084.98 is: 10,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.08 : 32,819.31 = 7,084.98 : x
  2. Step 2: Convert to fraction form
    21,876.08/32,819.31 = 7,084.98/x
  3. Step 3: Cross multiply
    21,876.08x = 32,819.31 × 7,084.98
  4. Step 4: Simplify right side
    21,876.08x = 232,524,154.96
  5. Step 5: Solve for x
    x = 232,524,154.96/21,876.08
  6. Step 6: Final answer
    x = 10,629.15

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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.