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Finding the Fourth Proportional to 24,697.72, 37,052.49 and 8,057.77

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Solution

The fourth proportional to 24,697.72, 37,052.49 and 8,057.77 is: 12,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.72 : 37,052.49 = 8,057.77 : x
  2. Step 2: Convert to fraction form
    24,697.72/37,052.49 = 8,057.77/x
  3. Step 3: Cross multiply
    24,697.72x = 37,052.49 × 8,057.77
  4. Step 4: Simplify right side
    24,697.72x = 298,560,442.35
  5. Step 5: Solve for x
    x = 298,560,442.35/24,697.72
  6. Step 6: Final answer
    x = 12,088.58

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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.