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Finding the Fourth Proportional to 24,046.21, 36,075.97 and 10,012.84

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Solution

The fourth proportional to 24,046.21, 36,075.97 and 10,012.84 is: 15,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046.21 : 36,075.97 = 10,012.84 : x
  2. Step 2: Convert to fraction form
    24,046.21/36,075.97 = 10,012.84/x
  3. Step 3: Cross multiply
    24,046.21x = 36,075.97 × 10,012.84
  4. Step 4: Simplify right side
    24,046.21x = 361,222,837.78
  5. Step 5: Solve for x
    x = 361,222,837.78/24,046.21
  6. Step 6: Final answer
    x = 15,022.03

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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.