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Finding the Fourth Proportional to 11,538.80, 17,315.24 and 8,896.04

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Solution

The fourth proportional to 11,538.80, 17,315.24 and 8,896.04 is: 13,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.80 : 17,315.24 = 8,896.04 : x
  2. Step 2: Convert to fraction form
    11,538.80/17,315.24 = 8,896.04/x
  3. Step 3: Cross multiply
    11,538.80x = 17,315.24 × 8,896.04
  4. Step 4: Simplify right side
    11,538.80x = 154,037,067.65
  5. Step 5: Solve for x
    x = 154,037,067.65/11,538.80
  6. Step 6: Final answer
    x = 13,349.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.