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Finding the Fourth Proportional to 11,831.40, 17,747.10 and 8,893.80

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Solution

The fourth proportional to 11,831.40, 17,747.10 and 8,893.80 is: 13,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.40 : 17,747.10 = 8,893.80 : x
  2. Step 2: Convert to fraction form
    11,831.40/17,747.10 = 8,893.80/x
  3. Step 3: Cross multiply
    11,831.40x = 17,747.10 × 8,893.80
  4. Step 4: Simplify right side
    11,831.40x = 157,839,157.98
  5. Step 5: Solve for x
    x = 157,839,157.98/11,831.40
  6. Step 6: Final answer
    x = 13,340.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.