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Finding the Fourth Proportional to 13,319.22, 18,382.91 and 7,942.00

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Solution

The fourth proportional to 13,319.22, 18,382.91 and 7,942.00 is: 10,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319.22 : 18,382.91 = 7,942.00 : x
  2. Step 2: Convert to fraction form
    13,319.22/18,382.91 = 7,942.00/x
  3. Step 3: Cross multiply
    13,319.22x = 18,382.91 × 7,942.00
  4. Step 4: Simplify right side
    13,319.22x = 145,997,077.47
  5. Step 5: Solve for x
    x = 145,997,077.47/13,319.22
  6. Step 6: Final answer
    x = 10,961.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.