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Finding the Fourth Proportional to 21,218.90, 31,831.70 and 6,982.92

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Solution

The fourth proportional to 21,218.90, 31,831.70 and 6,982.92 is: 10,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.90 : 31,831.70 = 6,982.92 : x
  2. Step 2: Convert to fraction form
    21,218.90/31,831.70 = 6,982.92/x
  3. Step 3: Cross multiply
    21,218.90x = 31,831.70 × 6,982.92
  4. Step 4: Simplify right side
    21,218.90x = 222,278,179.65
  5. Step 5: Solve for x
    x = 222,278,179.65/21,218.90
  6. Step 6: Final answer
    x = 10,475.48

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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.