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Finding the Fourth Proportional to 24,507.24, 36,767.03 and 6,977.09

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Solution

The fourth proportional to 24,507.24, 36,767.03 and 6,977.09 is: 10,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.24 : 36,767.03 = 6,977.09 : x
  2. Step 2: Convert to fraction form
    24,507.24/36,767.03 = 6,977.09/x
  3. Step 3: Cross multiply
    24,507.24x = 36,767.03 × 6,977.09
  4. Step 4: Simplify right side
    24,507.24x = 256,526,658.62
  5. Step 5: Solve for x
    x = 256,526,658.62/24,507.24
  6. Step 6: Final answer
    x = 10,467.38

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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.