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Finding the Fourth Proportional to 21,411.87, 32,099.34 and 8,273.46

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Solution

The fourth proportional to 21,411.87, 32,099.34 and 8,273.46 is: 12,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.87 : 32,099.34 = 8,273.46 : x
  2. Step 2: Convert to fraction form
    21,411.87/32,099.34 = 8,273.46/x
  3. Step 3: Cross multiply
    21,411.87x = 32,099.34 × 8,273.46
  4. Step 4: Simplify right side
    21,411.87x = 265,572,605.52
  5. Step 5: Solve for x
    x = 265,572,605.52/21,411.87
  6. Step 6: Final answer
    x = 12,403.06

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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.