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Finding the Fourth Proportional to 13,080.24, 18,055.96 and 8,046.50

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Solution

The fourth proportional to 13,080.24, 18,055.96 and 8,046.50 is: 11,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080.24 : 18,055.96 = 8,046.50 : x
  2. Step 2: Convert to fraction form
    13,080.24/18,055.96 = 8,046.50/x
  3. Step 3: Cross multiply
    13,080.24x = 18,055.96 × 8,046.50
  4. Step 4: Simplify right side
    13,080.24x = 145,287,282.14
  5. Step 5: Solve for x
    x = 145,287,282.14/13,080.24
  6. Step 6: Final answer
    x = 11,107.39

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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.