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Finding the Fourth Proportional to 11,399.91, 17,017.36 and 9,849.87

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Solution

The fourth proportional to 11,399.91, 17,017.36 and 9,849.87 is: 14,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.91 : 17,017.36 = 9,849.87 : x
  2. Step 2: Convert to fraction form
    11,399.91/17,017.36 = 9,849.87/x
  3. Step 3: Cross multiply
    11,399.91x = 17,017.36 × 9,849.87
  4. Step 4: Simplify right side
    11,399.91x = 167,618,759.12
  5. Step 5: Solve for x
    x = 167,618,759.12/11,399.91
  6. Step 6: Final answer
    x = 14,703.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.