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Finding the Fourth Proportional to 13,913.56, 19,198.38 and 8,324.56

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Solution

The fourth proportional to 13,913.56, 19,198.38 and 8,324.56 is: 11,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.56 : 19,198.38 = 8,324.56 : x
  2. Step 2: Convert to fraction form
    13,913.56/19,198.38 = 8,324.56/x
  3. Step 3: Cross multiply
    13,913.56x = 19,198.38 × 8,324.56
  4. Step 4: Simplify right side
    13,913.56x = 159,818,066.21
  5. Step 5: Solve for x
    x = 159,818,066.21/13,913.56
  6. Step 6: Final answer
    x = 11,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.