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Finding the Fourth Proportional to 12,195.40, 16,831.02 and 10,202.44

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Solution

The fourth proportional to 12,195.40, 16,831.02 and 10,202.44 is: 14,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.40 : 16,831.02 = 10,202.44 : x
  2. Step 2: Convert to fraction form
    12,195.40/16,831.02 = 10,202.44/x
  3. Step 3: Cross multiply
    12,195.40x = 16,831.02 × 10,202.44
  4. Step 4: Simplify right side
    12,195.40x = 171,717,471.69
  5. Step 5: Solve for x
    x = 171,717,471.69/12,195.40
  6. Step 6: Final answer
    x = 14,080.51

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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.