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Finding the Fourth Proportional to 23,448.57, 32,358.87 and 12,838.38

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Solution

The fourth proportional to 23,448.57, 32,358.87 and 12,838.38 is: 17,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.57 : 32,358.87 = 12,838.38 : x
  2. Step 2: Convert to fraction form
    23,448.57/32,358.87 = 12,838.38/x
  3. Step 3: Cross multiply
    23,448.57x = 32,358.87 × 12,838.38
  4. Step 4: Simplify right side
    23,448.57x = 415,435,469.43
  5. Step 5: Solve for x
    x = 415,435,469.43/23,448.57
  6. Step 6: Final answer
    x = 17,716.88

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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.