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Finding the Fourth Proportional to 21,983.68, 32,975.22 and 5,343.66

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Solution

The fourth proportional to 21,983.68, 32,975.22 and 5,343.66 is: 8,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.68 : 32,975.22 = 5,343.66 : x
  2. Step 2: Convert to fraction form
    21,983.68/32,975.22 = 5,343.66/x
  3. Step 3: Cross multiply
    21,983.68x = 32,975.22 × 5,343.66
  4. Step 4: Simplify right side
    21,983.68x = 176,208,337.39
  5. Step 5: Solve for x
    x = 176,208,337.39/21,983.68
  6. Step 6: Final answer
    x = 8,015.42

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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.