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Finding the Fourth Proportional to 24,599, 36,898.50 and 8,183

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Solution

The fourth proportional to 24,599, 36,898.50 and 8,183 is: 12,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,599 : 36,898.50 = 8,183 : x
  2. Step 2: Convert to fraction form
    24,599/36,898.50 = 8,183/x
  3. Step 3: Cross multiply
    24,599x = 36,898.50 × 8,183
  4. Step 4: Simplify right side
    24,599x = 301,940,425.50
  5. Step 5: Solve for x
    x = 301,940,425.50/24,599
  6. Step 6: Final answer
    x = 12,274.50

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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.