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Finding the Fourth Proportional to 13,692.11, 20,542.23 and 5,798.07

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Solution

The fourth proportional to 13,692.11, 20,542.23 and 5,798.07 is: 8,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.11 : 20,542.23 = 5,798.07 : x
  2. Step 2: Convert to fraction form
    13,692.11/20,542.23 = 5,798.07/x
  3. Step 3: Cross multiply
    13,692.11x = 20,542.23 × 5,798.07
  4. Step 4: Simplify right side
    13,692.11x = 119,105,287.50
  5. Step 5: Solve for x
    x = 119,105,287.50/13,692.11
  6. Step 6: Final answer
    x = 8,698.83

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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.