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Finding the Fourth Proportional to 14,622.32, 21,942.48 and 6,831.92

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Solution

The fourth proportional to 14,622.32, 21,942.48 and 6,831.92 is: 10,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622.32 : 21,942.48 = 6,831.92 : x
  2. Step 2: Convert to fraction form
    14,622.32/21,942.48 = 6,831.92/x
  3. Step 3: Cross multiply
    14,622.32x = 21,942.48 × 6,831.92
  4. Step 4: Simplify right side
    14,622.32x = 149,909,267.96
  5. Step 5: Solve for x
    x = 149,909,267.96/14,622.32
  6. Step 6: Final answer
    x = 10,252.09

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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.