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Finding the Fourth Proportional to 13,896.83, 19,177.49 and 7,523.42

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Solution

The fourth proportional to 13,896.83, 19,177.49 and 7,523.42 is: 10,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.83 : 19,177.49 = 7,523.42 : x
  2. Step 2: Convert to fraction form
    13,896.83/19,177.49 = 7,523.42/x
  3. Step 3: Cross multiply
    13,896.83x = 19,177.49 × 7,523.42
  4. Step 4: Simplify right side
    13,896.83x = 144,280,234.74
  5. Step 5: Solve for x
    x = 144,280,234.74/13,896.83
  6. Step 6: Final answer
    x = 10,382.24

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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.