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Finding the Fourth Proportional to 23,075.11, 31,843.63 and 12,464.74

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Solution

The fourth proportional to 23,075.11, 31,843.63 and 12,464.74 is: 17,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.11 : 31,843.63 = 12,464.74 : x
  2. Step 2: Convert to fraction form
    23,075.11/31,843.63 = 12,464.74/x
  3. Step 3: Cross multiply
    23,075.11x = 31,843.63 × 12,464.74
  4. Step 4: Simplify right side
    23,075.11x = 396,922,568.61
  5. Step 5: Solve for x
    x = 396,922,568.61/23,075.11
  6. Step 6: Final answer
    x = 17,201.33

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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.