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Finding the Fourth Proportional to 13,382.93, 20,077.34 and 5,485.50

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Solution

The fourth proportional to 13,382.93, 20,077.34 and 5,485.50 is: 8,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.93 : 20,077.34 = 5,485.50 : x
  2. Step 2: Convert to fraction form
    13,382.93/20,077.34 = 5,485.50/x
  3. Step 3: Cross multiply
    13,382.93x = 20,077.34 × 5,485.50
  4. Step 4: Simplify right side
    13,382.93x = 110,134,221.14
  5. Step 5: Solve for x
    x = 110,134,221.14/13,382.93
  6. Step 6: Final answer
    x = 8,229.45

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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.