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Finding the Fourth Proportional to 23,075.30, 31,843.94 and 12,464.94

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Solution

The fourth proportional to 23,075.30, 31,843.94 and 12,464.94 is: 17,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.30 : 31,843.94 = 12,464.94 : x
  2. Step 2: Convert to fraction form
    23,075.30/31,843.94 = 12,464.94/x
  3. Step 3: Cross multiply
    23,075.30x = 31,843.94 × 12,464.94
  4. Step 4: Simplify right side
    23,075.30x = 396,932,801.46
  5. Step 5: Solve for x
    x = 396,932,801.46/23,075.30
  6. Step 6: Final answer
    x = 17,201.63

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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.