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Finding the Fourth Proportional to 12,019.50, 18,029.25 and 5,775.61

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Solution

The fourth proportional to 12,019.50, 18,029.25 and 5,775.61 is: 8,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.50 : 18,029.25 = 5,775.61 : x
  2. Step 2: Convert to fraction form
    12,019.50/18,029.25 = 5,775.61/x
  3. Step 3: Cross multiply
    12,019.50x = 18,029.25 × 5,775.61
  4. Step 4: Simplify right side
    12,019.50x = 104,129,916.59
  5. Step 5: Solve for x
    x = 104,129,916.59/12,019.50
  6. Step 6: Final answer
    x = 8,663.42

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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.