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Finding the Fourth Proportional to 24,664.74, 36,992.78 and 8,022.34

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Solution

The fourth proportional to 24,664.74, 36,992.78 and 8,022.34 is: 12,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.74 : 36,992.78 = 8,022.34 : x
  2. Step 2: Convert to fraction form
    24,664.74/36,992.78 = 8,022.34/x
  3. Step 3: Cross multiply
    24,664.74x = 36,992.78 × 8,022.34
  4. Step 4: Simplify right side
    24,664.74x = 296,768,658.71
  5. Step 5: Solve for x
    x = 296,768,658.71/24,664.74
  6. Step 6: Final answer
    x = 12,032.10

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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.