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Finding the Fourth Proportional to 12,384.43, 18,544.93 and 6,831.60

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Solution

The fourth proportional to 12,384.43, 18,544.93 and 6,831.60 is: 10,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.43 : 18,544.93 = 6,831.60 : x
  2. Step 2: Convert to fraction form
    12,384.43/18,544.93 = 6,831.60/x
  3. Step 3: Cross multiply
    12,384.43x = 18,544.93 × 6,831.60
  4. Step 4: Simplify right side
    12,384.43x = 126,691,509.63
  5. Step 5: Solve for x
    x = 126,691,509.63/12,384.43
  6. Step 6: Final answer
    x = 10,229.90

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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.