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Finding the Fourth Proportional to 20,977.79, 31,479.01 and 7,831.19

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Solution

The fourth proportional to 20,977.79, 31,479.01 and 7,831.19 is: 11,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.79 : 31,479.01 = 7,831.19 : x
  2. Step 2: Convert to fraction form
    20,977.79/31,479.01 = 7,831.19/x
  3. Step 3: Cross multiply
    20,977.79x = 31,479.01 × 7,831.19
  4. Step 4: Simplify right side
    20,977.79x = 246,517,931.35
  5. Step 5: Solve for x
    x = 246,517,931.35/20,977.79
  6. Step 6: Final answer
    x = 11,751.38

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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.