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Finding the Fourth Proportional to 24,775.32, 37,137 and 8,131.08

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Solution

The fourth proportional to 24,775.32, 37,137 and 8,131.08 is: 12,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775.32 : 37,137 = 8,131.08 : x
  2. Step 2: Convert to fraction form
    24,775.32/37,137 = 8,131.08/x
  3. Step 3: Cross multiply
    24,775.32x = 37,137 × 8,131.08
  4. Step 4: Simplify right side
    24,775.32x = 301,963,917.96
  5. Step 5: Solve for x
    x = 301,963,917.96/24,775.32
  6. Step 6: Final answer
    x = 12,188.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.