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Finding the Fourth Proportional to 21,622.29, 32,433.25 and 6,831.21

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Solution

The fourth proportional to 21,622.29, 32,433.25 and 6,831.21 is: 10,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.29 : 32,433.25 = 6,831.21 : x
  2. Step 2: Convert to fraction form
    21,622.29/32,433.25 = 6,831.21/x
  3. Step 3: Cross multiply
    21,622.29x = 32,433.25 × 6,831.21
  4. Step 4: Simplify right side
    21,622.29x = 221,558,358.26
  5. Step 5: Solve for x
    x = 221,558,358.26/21,622.29
  6. Step 6: Final answer
    x = 10,246.76

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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.