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Finding the Fourth Proportional to 12,509.50, 17,233.89 and 8,725.92

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Solution

The fourth proportional to 12,509.50, 17,233.89 and 8,725.92 is: 12,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.50 : 17,233.89 = 8,725.92 : x
  2. Step 2: Convert to fraction form
    12,509.50/17,233.89 = 8,725.92/x
  3. Step 3: Cross multiply
    12,509.50x = 17,233.89 × 8,725.92
  4. Step 4: Simplify right side
    12,509.50x = 150,381,545.43
  5. Step 5: Solve for x
    x = 150,381,545.43/12,509.50
  6. Step 6: Final answer
    x = 12,021.39

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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.