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Finding the Fourth Proportional to 12,550.85, 17,317.20 and 7,100.05

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Solution

The fourth proportional to 12,550.85, 17,317.20 and 7,100.05 is: 9,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,550.85 : 17,317.20 = 7,100.05 : x
  2. Step 2: Convert to fraction form
    12,550.85/17,317.20 = 7,100.05/x
  3. Step 3: Cross multiply
    12,550.85x = 17,317.20 × 7,100.05
  4. Step 4: Simplify right side
    12,550.85x = 122,952,917.02
  5. Step 5: Solve for x
    x = 122,952,917.02/12,550.85
  6. Step 6: Final answer
    x = 9,796.38

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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.