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Finding the Fourth Proportional to 15,317.86, 22,976.91 and 8,388.58

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Solution

The fourth proportional to 15,317.86, 22,976.91 and 8,388.58 is: 12,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,317.86 : 22,976.91 = 8,388.58 : x
  2. Step 2: Convert to fraction form
    15,317.86/22,976.91 = 8,388.58/x
  3. Step 3: Cross multiply
    15,317.86x = 22,976.91 × 8,388.58
  4. Step 4: Simplify right side
    15,317.86x = 192,743,647.69
  5. Step 5: Solve for x
    x = 192,743,647.69/15,317.86
  6. Step 6: Final answer
    x = 12,582.94

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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.