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Finding the Fourth Proportional to 21,877.46, 32,816.20 and 6,295.10

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Solution

The fourth proportional to 21,877.46, 32,816.20 and 6,295.10 is: 9,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.46 : 32,816.20 = 6,295.10 : x
  2. Step 2: Convert to fraction form
    21,877.46/32,816.20 = 6,295.10/x
  3. Step 3: Cross multiply
    21,877.46x = 32,816.20 × 6,295.10
  4. Step 4: Simplify right side
    21,877.46x = 206,581,260.62
  5. Step 5: Solve for x
    x = 206,581,260.62/21,877.46
  6. Step 6: Final answer
    x = 9,442.65

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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.