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Finding the Fourth Proportional to 24,803.82, 37,211.12 and 8,165.54

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Solution

The fourth proportional to 24,803.82, 37,211.12 and 8,165.54 is: 12,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.82 : 37,211.12 = 8,165.54 : x
  2. Step 2: Convert to fraction form
    24,803.82/37,211.12 = 8,165.54/x
  3. Step 3: Cross multiply
    24,803.82x = 37,211.12 × 8,165.54
  4. Step 4: Simplify right side
    24,803.82x = 303,848,661.92
  5. Step 5: Solve for x
    x = 303,848,661.92/24,803.82
  6. Step 6: Final answer
    x = 12,250.08

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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.