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Finding the Fourth Proportional to 21,983.71, 32,979.62 and 7,193.46

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Solution

The fourth proportional to 21,983.71, 32,979.62 and 7,193.46 is: 10,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.71 : 32,979.62 = 7,193.46 : x
  2. Step 2: Convert to fraction form
    21,983.71/32,979.62 = 7,193.46/x
  3. Step 3: Cross multiply
    21,983.71x = 32,979.62 × 7,193.46
  4. Step 4: Simplify right side
    21,983.71x = 237,237,376.42
  5. Step 5: Solve for x
    x = 237,237,376.42/21,983.71
  6. Step 6: Final answer
    x = 10,791.51

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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.