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Finding the Fourth Proportional to 12,865.98, 17,757.82 and 7,831.83

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Solution

The fourth proportional to 12,865.98, 17,757.82 and 7,831.83 is: 10,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.98 : 17,757.82 = 7,831.83 : x
  2. Step 2: Convert to fraction form
    12,865.98/17,757.82 = 7,831.83/x
  3. Step 3: Cross multiply
    12,865.98x = 17,757.82 × 7,831.83
  4. Step 4: Simplify right side
    12,865.98x = 139,076,159.85
  5. Step 5: Solve for x
    x = 139,076,159.85/12,865.98
  6. Step 6: Final answer
    x = 10,809.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.