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Finding the Fourth Proportional to 21,622.46, 32,433.50 and 6,831.38

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Solution

The fourth proportional to 21,622.46, 32,433.50 and 6,831.38 is: 10,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.46 : 32,433.50 = 6,831.38 : x
  2. Step 2: Convert to fraction form
    21,622.46/32,433.50 = 6,831.38/x
  3. Step 3: Cross multiply
    21,622.46x = 32,433.50 × 6,831.38
  4. Step 4: Simplify right side
    21,622.46x = 221,565,366.91
  5. Step 5: Solve for x
    x = 221,565,366.91/21,622.46
  6. Step 6: Final answer
    x = 10,247.00

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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.