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Finding the Fourth Proportional to 39,204, 58,815.72 and 11,502

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Solution

The fourth proportional to 39,204, 58,815.72 and 11,502 is: 17,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 58,815.72 = 11,502 : x
  2. Step 2: Convert to fraction form
    39,204/58,815.72 = 11,502/x
  3. Step 3: Cross multiply
    39,204x = 58,815.72 × 11,502
  4. Step 4: Simplify right side
    39,204x = 676,498,411.44
  5. Step 5: Solve for x
    x = 676,498,411.44/39,204
  6. Step 6: Final answer
    x = 17,255.85

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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.