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Finding the Fourth Proportional to 13,925.73, 20,890.94 and 6,906.09

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Solution

The fourth proportional to 13,925.73, 20,890.94 and 6,906.09 is: 10,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.73 : 20,890.94 = 6,906.09 : x
  2. Step 2: Convert to fraction form
    13,925.73/20,890.94 = 6,906.09/x
  3. Step 3: Cross multiply
    13,925.73x = 20,890.94 × 6,906.09
  4. Step 4: Simplify right side
    13,925.73x = 144,274,711.82
  5. Step 5: Solve for x
    x = 144,274,711.82/13,925.73
  6. Step 6: Final answer
    x = 10,360.30

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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.