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Finding the Fourth Proportional to 24,772, 37,162.86 and 10,921

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Solution

The fourth proportional to 24,772, 37,162.86 and 10,921 is: 16,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772 : 37,162.86 = 10,921 : x
  2. Step 2: Convert to fraction form
    24,772/37,162.86 = 10,921/x
  3. Step 3: Cross multiply
    24,772x = 37,162.86 × 10,921
  4. Step 4: Simplify right side
    24,772x = 405,855,594.06
  5. Step 5: Solve for x
    x = 405,855,594.06/24,772
  6. Step 6: Final answer
    x = 16,383.64

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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.