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Finding the Fourth Proportional to 13,795.50, 20,667.22 and 8,156.34

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Solution

The fourth proportional to 13,795.50, 20,667.22 and 8,156.34 is: 12,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.50 : 20,667.22 = 8,156.34 : x
  2. Step 2: Convert to fraction form
    13,795.50/20,667.22 = 8,156.34/x
  3. Step 3: Cross multiply
    13,795.50x = 20,667.22 × 8,156.34
  4. Step 4: Simplify right side
    13,795.50x = 168,568,873.17
  5. Step 5: Solve for x
    x = 168,568,873.17/13,795.50
  6. Step 6: Final answer
    x = 12,219.12

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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.