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Finding the Fourth Proportional to 13,911.34, 20,856.03 and 6,886.39

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Solution

The fourth proportional to 13,911.34, 20,856.03 and 6,886.39 is: 10,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.34 : 20,856.03 = 6,886.39 : x
  2. Step 2: Convert to fraction form
    13,911.34/20,856.03 = 6,886.39/x
  3. Step 3: Cross multiply
    13,911.34x = 20,856.03 × 6,886.39
  4. Step 4: Simplify right side
    13,911.34x = 143,622,756.43
  5. Step 5: Solve for x
    x = 143,622,756.43/13,911.34
  6. Step 6: Final answer
    x = 10,324.15

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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.