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Finding the Fourth Proportional to 15,891.61, 23,829.83 and 5,889.49

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Solution

The fourth proportional to 15,891.61, 23,829.83 and 5,889.49 is: 8,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.61 : 23,829.83 = 5,889.49 : x
  2. Step 2: Convert to fraction form
    15,891.61/23,829.83 = 5,889.49/x
  3. Step 3: Cross multiply
    15,891.61x = 23,829.83 × 5,889.49
  4. Step 4: Simplify right side
    15,891.61x = 140,345,456.46
  5. Step 5: Solve for x
    x = 140,345,456.46/15,891.61
  6. Step 6: Final answer
    x = 8,831.42

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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.