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Finding the Fourth Proportional to 23,382.54, 32,267.73 and 12,772.17

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Solution

The fourth proportional to 23,382.54, 32,267.73 and 12,772.17 is: 17,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.54 : 32,267.73 = 12,772.17 : x
  2. Step 2: Convert to fraction form
    23,382.54/32,267.73 = 12,772.17/x
  3. Step 3: Cross multiply
    23,382.54x = 32,267.73 × 12,772.17
  4. Step 4: Simplify right side
    23,382.54x = 412,128,933.07
  5. Step 5: Solve for x
    x = 412,128,933.07/23,382.54
  6. Step 6: Final answer
    x = 17,625.50

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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.