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Finding the Fourth Proportional to 13,930.08, 20,906.64 and 5,727.84

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Solution

The fourth proportional to 13,930.08, 20,906.64 and 5,727.84 is: 8,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.08 : 20,906.64 = 5,727.84 : x
  2. Step 2: Convert to fraction form
    13,930.08/20,906.64 = 5,727.84/x
  3. Step 3: Cross multiply
    13,930.08x = 20,906.64 × 5,727.84
  4. Step 4: Simplify right side
    13,930.08x = 119,749,888.86
  5. Step 5: Solve for x
    x = 119,749,888.86/13,930.08
  6. Step 6: Final answer
    x = 8,596.50

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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.