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Finding the Fourth Proportional to 13,894.38, 20,845.20 and 5,129.34

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Solution

The fourth proportional to 13,894.38, 20,845.20 and 5,129.34 is: 7,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.38 : 20,845.20 = 5,129.34 : x
  2. Step 2: Convert to fraction form
    13,894.38/20,845.20 = 5,129.34/x
  3. Step 3: Cross multiply
    13,894.38x = 20,845.20 × 5,129.34
  4. Step 4: Simplify right side
    13,894.38x = 106,922,118.17
  5. Step 5: Solve for x
    x = 106,922,118.17/13,894.38
  6. Step 6: Final answer
    x = 7,695.35

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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.