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Finding the Fourth Proportional to 13,379.04, 20,071.08 and 5,983.80

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Solution

The fourth proportional to 13,379.04, 20,071.08 and 5,983.80 is: 8,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.04 : 20,071.08 = 5,983.80 : x
  2. Step 2: Convert to fraction form
    13,379.04/20,071.08 = 5,983.80/x
  3. Step 3: Cross multiply
    13,379.04x = 20,071.08 × 5,983.80
  4. Step 4: Simplify right side
    13,379.04x = 120,101,328.50
  5. Step 5: Solve for x
    x = 120,101,328.50/13,379.04
  6. Step 6: Final answer
    x = 8,976.83

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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.