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Finding the Fourth Proportional to 23,965.01, 35,963.72 and 8,382.77

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Solution

The fourth proportional to 23,965.01, 35,963.72 and 8,382.77 is: 12,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.01 : 35,963.72 = 8,382.77 : x
  2. Step 2: Convert to fraction form
    23,965.01/35,963.72 = 8,382.77/x
  3. Step 3: Cross multiply
    23,965.01x = 35,963.72 × 8,382.77
  4. Step 4: Simplify right side
    23,965.01x = 301,475,551.19
  5. Step 5: Solve for x
    x = 301,475,551.19/23,965.01
  6. Step 6: Final answer
    x = 12,579.82

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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.