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Finding the Fourth Proportional to 21,824.87, 32,742.34 and 6,831.14

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Solution

The fourth proportional to 21,824.87, 32,742.34 and 6,831.14 is: 10,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.87 : 32,742.34 = 6,831.14 : x
  2. Step 2: Convert to fraction form
    21,824.87/32,742.34 = 6,831.14/x
  3. Step 3: Cross multiply
    21,824.87x = 32,742.34 × 6,831.14
  4. Step 4: Simplify right side
    21,824.87x = 223,667,327.68
  5. Step 5: Solve for x
    x = 223,667,327.68/21,824.87
  6. Step 6: Final answer
    x = 10,248.28

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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.