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Finding the Fourth Proportional to 13,899.46, 19,178.18 and 8,231.38

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Solution

The fourth proportional to 13,899.46, 19,178.18 and 8,231.38 is: 11,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899.46 : 19,178.18 = 8,231.38 : x
  2. Step 2: Convert to fraction form
    13,899.46/19,178.18 = 8,231.38/x
  3. Step 3: Cross multiply
    13,899.46x = 19,178.18 × 8,231.38
  4. Step 4: Simplify right side
    13,899.46x = 157,862,887.29
  5. Step 5: Solve for x
    x = 157,862,887.29/13,899.46
  6. Step 6: Final answer
    x = 11,357.48

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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.