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Finding the Fourth Proportional to 20,826.84, 31,243.86 and 9,141.24

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Solution

The fourth proportional to 20,826.84, 31,243.86 and 9,141.24 is: 13,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826.84 : 31,243.86 = 9,141.24 : x
  2. Step 2: Convert to fraction form
    20,826.84/31,243.86 = 9,141.24/x
  3. Step 3: Cross multiply
    20,826.84x = 31,243.86 × 9,141.24
  4. Step 4: Simplify right side
    20,826.84x = 285,607,622.79
  5. Step 5: Solve for x
    x = 285,607,622.79/20,826.84
  6. Step 6: Final answer
    x = 13,713.44

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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.