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Finding the Fourth Proportional to 13,427.56, 20,119.06 and 8,222.50

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Solution

The fourth proportional to 13,427.56, 20,119.06 and 8,222.50 is: 12,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.56 : 20,119.06 = 8,222.50 : x
  2. Step 2: Convert to fraction form
    13,427.56/20,119.06 = 8,222.50/x
  3. Step 3: Cross multiply
    13,427.56x = 20,119.06 × 8,222.50
  4. Step 4: Simplify right side
    13,427.56x = 165,428,970.85
  5. Step 5: Solve for x
    x = 165,428,970.85/13,427.56
  6. Step 6: Final answer
    x = 12,320.11

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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.