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Finding the Fourth Proportional to 13,930.84, 20,894.34 and 5,164.54

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Solution

The fourth proportional to 13,930.84, 20,894.34 and 5,164.54 is: 7,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.84 : 20,894.34 = 5,164.54 : x
  2. Step 2: Convert to fraction form
    13,930.84/20,894.34 = 5,164.54/x
  3. Step 3: Cross multiply
    13,930.84x = 20,894.34 × 5,164.54
  4. Step 4: Simplify right side
    13,930.84x = 107,909,654.70
  5. Step 5: Solve for x
    x = 107,909,654.70/13,930.84
  6. Step 6: Final answer
    x = 7,746.10

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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.