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Finding the Fourth Proportional to 13,101.82, 18,080.64 and 7,133.56

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Solution

The fourth proportional to 13,101.82, 18,080.64 and 7,133.56 is: 9,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.82 : 18,080.64 = 7,133.56 : x
  2. Step 2: Convert to fraction form
    13,101.82/18,080.64 = 7,133.56/x
  3. Step 3: Cross multiply
    13,101.82x = 18,080.64 × 7,133.56
  4. Step 4: Simplify right side
    13,101.82x = 128,979,330.28
  5. Step 5: Solve for x
    x = 128,979,330.28/13,101.82
  6. Step 6: Final answer
    x = 9,844.38

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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.