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Finding the Fourth Proportional to 23,075.30, 31,843.90 and 12,464.93

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Solution

The fourth proportional to 23,075.30, 31,843.90 and 12,464.93 is: 17,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.30 : 31,843.90 = 12,464.93 : x
  2. Step 2: Convert to fraction form
    23,075.30/31,843.90 = 12,464.93/x
  3. Step 3: Cross multiply
    23,075.30x = 31,843.90 × 12,464.93
  4. Step 4: Simplify right side
    23,075.30x = 396,931,922.10
  5. Step 5: Solve for x
    x = 396,931,922.10/23,075.30
  6. Step 6: Final answer
    x = 17,201.59

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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.