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Finding the Fourth Proportional to 24,606.30, 36,908.16 and 7,075.44

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Solution

The fourth proportional to 24,606.30, 36,908.16 and 7,075.44 is: 10,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.30 : 36,908.16 = 7,075.44 : x
  2. Step 2: Convert to fraction form
    24,606.30/36,908.16 = 7,075.44/x
  3. Step 3: Cross multiply
    24,606.30x = 36,908.16 × 7,075.44
  4. Step 4: Simplify right side
    24,606.30x = 261,141,471.59
  5. Step 5: Solve for x
    x = 261,141,471.59/24,606.30
  6. Step 6: Final answer
    x = 10,612.79

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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.