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Finding the Fourth Proportional to 23,382.56, 32,267.95 and 12,772.22

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Solution

The fourth proportional to 23,382.56, 32,267.95 and 12,772.22 is: 17,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.56 : 32,267.95 = 12,772.22 : x
  2. Step 2: Convert to fraction form
    23,382.56/32,267.95 = 12,772.22/x
  3. Step 3: Cross multiply
    23,382.56x = 32,267.95 × 12,772.22
  4. Step 4: Simplify right side
    23,382.56x = 412,133,163.08
  5. Step 5: Solve for x
    x = 412,133,163.08/23,382.56
  6. Step 6: Final answer
    x = 17,625.66

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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.