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Finding the Fourth Proportional to 13,709.70, 20,564.55 and 8,169.30

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Solution

The fourth proportional to 13,709.70, 20,564.55 and 8,169.30 is: 12,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.70 : 20,564.55 = 8,169.30 : x
  2. Step 2: Convert to fraction form
    13,709.70/20,564.55 = 8,169.30/x
  3. Step 3: Cross multiply
    13,709.70x = 20,564.55 × 8,169.30
  4. Step 4: Simplify right side
    13,709.70x = 167,997,978.32
  5. Step 5: Solve for x
    x = 167,997,978.32/13,709.70
  6. Step 6: Final answer
    x = 12,253.95

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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.