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Finding the Fourth Proportional to 21,896.95, 32,846.64 and 6,314.17

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Solution

The fourth proportional to 21,896.95, 32,846.64 and 6,314.17 is: 9,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.95 : 32,846.64 = 6,314.17 : x
  2. Step 2: Convert to fraction form
    21,896.95/32,846.64 = 6,314.17/x
  3. Step 3: Cross multiply
    21,896.95x = 32,846.64 × 6,314.17
  4. Step 4: Simplify right side
    21,896.95x = 207,399,268.89
  5. Step 5: Solve for x
    x = 207,399,268.89/21,896.95
  6. Step 6: Final answer
    x = 9,471.61

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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.