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Finding the Fourth Proportional to 21,831.80, 32,747.70 and 7,986.20

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Solution

The fourth proportional to 21,831.80, 32,747.70 and 7,986.20 is: 11,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.80 : 32,747.70 = 7,986.20 : x
  2. Step 2: Convert to fraction form
    21,831.80/32,747.70 = 7,986.20/x
  3. Step 3: Cross multiply
    21,831.80x = 32,747.70 × 7,986.20
  4. Step 4: Simplify right side
    21,831.80x = 261,529,681.74
  5. Step 5: Solve for x
    x = 261,529,681.74/21,831.80
  6. Step 6: Final answer
    x = 11,979.30

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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.