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Finding the Fourth Proportional to 12,831.69, 17,702.85 and 8,049.60

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Solution

The fourth proportional to 12,831.69, 17,702.85 and 8,049.60 is: 11,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.69 : 17,702.85 = 8,049.60 : x
  2. Step 2: Convert to fraction form
    12,831.69/17,702.85 = 8,049.60/x
  3. Step 3: Cross multiply
    12,831.69x = 17,702.85 × 8,049.60
  4. Step 4: Simplify right side
    12,831.69x = 142,500,941.34
  5. Step 5: Solve for x
    x = 142,500,941.34/12,831.69
  6. Step 6: Final answer
    x = 11,105.39

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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.