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Finding the Fourth Proportional to 13,920.54, 20,881.82 and 3,926.76

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Solution

The fourth proportional to 13,920.54, 20,881.82 and 3,926.76 is: 5,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.54 : 20,881.82 = 3,926.76 : x
  2. Step 2: Convert to fraction form
    13,920.54/20,881.82 = 3,926.76/x
  3. Step 3: Cross multiply
    13,920.54x = 20,881.82 × 3,926.76
  4. Step 4: Simplify right side
    13,920.54x = 81,997,895.50
  5. Step 5: Solve for x
    x = 81,997,895.50/13,920.54
  6. Step 6: Final answer
    x = 5,890.42

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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.