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Finding the Fourth Proportional to 17,884.24, 26,831.14 and 6,197.46

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Solution

The fourth proportional to 17,884.24, 26,831.14 and 6,197.46 is: 9,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.24 : 26,831.14 = 6,197.46 : x
  2. Step 2: Convert to fraction form
    17,884.24/26,831.14 = 6,197.46/x
  3. Step 3: Cross multiply
    17,884.24x = 26,831.14 × 6,197.46
  4. Step 4: Simplify right side
    17,884.24x = 166,284,751.76
  5. Step 5: Solve for x
    x = 166,284,751.76/17,884.24
  6. Step 6: Final answer
    x = 9,297.84

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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.