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Finding the Fourth Proportional to 16,361.52, 22,581.32 and 9,645

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Solution

The fourth proportional to 16,361.52, 22,581.32 and 9,645 is: 13,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.52 : 22,581.32 = 9,645 : x
  2. Step 2: Convert to fraction form
    16,361.52/22,581.32 = 9,645/x
  3. Step 3: Cross multiply
    16,361.52x = 22,581.32 × 9,645
  4. Step 4: Simplify right side
    16,361.52x = 217,796,831.40
  5. Step 5: Solve for x
    x = 217,796,831.40/16,361.52
  6. Step 6: Final answer
    x = 13,311.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.