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Finding the Fourth Proportional to 21,917.68, 32,884.16 and 6,927.09

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Solution

The fourth proportional to 21,917.68, 32,884.16 and 6,927.09 is: 10,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,917.68 : 32,884.16 = 6,927.09 : x
  2. Step 2: Convert to fraction form
    21,917.68/32,884.16 = 6,927.09/x
  3. Step 3: Cross multiply
    21,917.68x = 32,884.16 × 6,927.09
  4. Step 4: Simplify right side
    21,917.68x = 227,791,535.89
  5. Step 5: Solve for x
    x = 227,791,535.89/21,917.68
  6. Step 6: Final answer
    x = 10,393.05

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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.