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Finding the Fourth Proportional to 21,178.44, 31,734.24 and 7,833.12

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Solution

The fourth proportional to 21,178.44, 31,734.24 and 7,833.12 is: 11,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.44 : 31,734.24 = 7,833.12 : x
  2. Step 2: Convert to fraction form
    21,178.44/31,734.24 = 7,833.12/x
  3. Step 3: Cross multiply
    21,178.44x = 31,734.24 × 7,833.12
  4. Step 4: Simplify right side
    21,178.44x = 248,578,110.03
  5. Step 5: Solve for x
    x = 248,578,110.03/21,178.44
  6. Step 6: Final answer
    x = 11,737.32

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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.