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Finding the Fourth Proportional to 23,369.94, 32,249.19 and 13,300.83

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Solution

The fourth proportional to 23,369.94, 32,249.19 and 13,300.83 is: 18,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,369.94 : 32,249.19 = 13,300.83 : x
  2. Step 2: Convert to fraction form
    23,369.94/32,249.19 = 13,300.83/x
  3. Step 3: Cross multiply
    23,369.94x = 32,249.19 × 13,300.83
  4. Step 4: Simplify right side
    23,369.94x = 428,940,993.83
  5. Step 5: Solve for x
    x = 428,940,993.83/23,369.94
  6. Step 6: Final answer
    x = 18,354.39

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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.