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Finding the Fourth Proportional to 13,100.60, 19,659 and 5,309.48

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Solution

The fourth proportional to 13,100.60, 19,659 and 5,309.48 is: 7,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.60 : 19,659 = 5,309.48 : x
  2. Step 2: Convert to fraction form
    13,100.60/19,659 = 5,309.48/x
  3. Step 3: Cross multiply
    13,100.60x = 19,659 × 5,309.48
  4. Step 4: Simplify right side
    13,100.60x = 104,379,067.32
  5. Step 5: Solve for x
    x = 104,379,067.32/13,100.60
  6. Step 6: Final answer
    x = 7,967.50

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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.