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Finding the Fourth Proportional to 12,197.58, 16,831.96 and 6,892.48

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Solution

The fourth proportional to 12,197.58, 16,831.96 and 6,892.48 is: 9,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.58 : 16,831.96 = 6,892.48 : x
  2. Step 2: Convert to fraction form
    12,197.58/16,831.96 = 6,892.48/x
  3. Step 3: Cross multiply
    12,197.58x = 16,831.96 × 6,892.48
  4. Step 4: Simplify right side
    12,197.58x = 116,013,947.66
  5. Step 5: Solve for x
    x = 116,013,947.66/12,197.58
  6. Step 6: Final answer
    x = 9,511.23

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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.