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Finding the Fourth Proportional to 16,378.12, 22,601.36 and 9,664.04

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Solution

The fourth proportional to 16,378.12, 22,601.36 and 9,664.04 is: 13,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.12 : 22,601.36 = 9,664.04 : x
  2. Step 2: Convert to fraction form
    16,378.12/22,601.36 = 9,664.04/x
  3. Step 3: Cross multiply
    16,378.12x = 22,601.36 × 9,664.04
  4. Step 4: Simplify right side
    16,378.12x = 218,420,447.09
  5. Step 5: Solve for x
    x = 218,420,447.09/16,378.12
  6. Step 6: Final answer
    x = 13,336.11

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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.