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Finding the Fourth Proportional to 20,831.15, 31,197.04 and 13,311.08

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Solution

The fourth proportional to 20,831.15, 31,197.04 and 13,311.08 is: 19,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831.15 : 31,197.04 = 13,311.08 : x
  2. Step 2: Convert to fraction form
    20,831.15/31,197.04 = 13,311.08/x
  3. Step 3: Cross multiply
    20,831.15x = 31,197.04 × 13,311.08
  4. Step 4: Simplify right side
    20,831.15x = 415,266,222.93
  5. Step 5: Solve for x
    x = 415,266,222.93/20,831.15
  6. Step 6: Final answer
    x = 19,934.87

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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.