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Finding the Fourth Proportional to 13,929.91, 20,894.60 and 3,400

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Solution

The fourth proportional to 13,929.91, 20,894.60 and 3,400 is: 5,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.91 : 20,894.60 = 3,400 : x
  2. Step 2: Convert to fraction form
    13,929.91/20,894.60 = 3,400/x
  3. Step 3: Cross multiply
    13,929.91x = 20,894.60 × 3,400
  4. Step 4: Simplify right side
    13,929.91x = 71,041,623
  5. Step 5: Solve for x
    x = 71,041,623/13,929.91
  6. Step 6: Final answer
    x = 5,099.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.