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Finding the Fourth Proportional to 12,197.10, 16,831.13 and 7,161.54

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Solution

The fourth proportional to 12,197.10, 16,831.13 and 7,161.54 is: 9,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.10 : 16,831.13 = 7,161.54 : x
  2. Step 2: Convert to fraction form
    12,197.10/16,831.13 = 7,161.54/x
  3. Step 3: Cross multiply
    12,197.10x = 16,831.13 × 7,161.54
  4. Step 4: Simplify right side
    12,197.10x = 120,536,774.93
  5. Step 5: Solve for x
    x = 120,536,774.93/12,197.10
  6. Step 6: Final answer
    x = 9,882.41

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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.