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Finding the Fourth Proportional to 13,097.38, 18,073.80 and 7,129.04

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Solution

The fourth proportional to 13,097.38, 18,073.80 and 7,129.04 is: 9,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.38 : 18,073.80 = 7,129.04 : x
  2. Step 2: Convert to fraction form
    13,097.38/18,073.80 = 7,129.04/x
  3. Step 3: Cross multiply
    13,097.38x = 18,073.80 × 7,129.04
  4. Step 4: Simplify right side
    13,097.38x = 128,848,843.15
  5. Step 5: Solve for x
    x = 128,848,843.15/13,097.38
  6. Step 6: Final answer
    x = 9,837.76

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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.