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Finding the Fourth Proportional to 23,230.25, 34,824.71 and 10,075.44

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Solution

The fourth proportional to 23,230.25, 34,824.71 and 10,075.44 is: 15,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.25 : 34,824.71 = 10,075.44 : x
  2. Step 2: Convert to fraction form
    23,230.25/34,824.71 = 10,075.44/x
  3. Step 3: Cross multiply
    23,230.25x = 34,824.71 × 10,075.44
  4. Step 4: Simplify right side
    23,230.25x = 350,874,301.31
  5. Step 5: Solve for x
    x = 350,874,301.31/23,230.25
  6. Step 6: Final answer
    x = 15,104.20

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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.