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Finding the Fourth Proportional to 13,097.52, 18,074.64 and 7,129.23

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Solution

The fourth proportional to 13,097.52, 18,074.64 and 7,129.23 is: 9,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.52 : 18,074.64 = 7,129.23 : x
  2. Step 2: Convert to fraction form
    13,097.52/18,074.64 = 7,129.23/x
  3. Step 3: Cross multiply
    13,097.52x = 18,074.64 × 7,129.23
  4. Step 4: Simplify right side
    13,097.52x = 128,858,265.73
  5. Step 5: Solve for x
    x = 128,858,265.73/13,097.52
  6. Step 6: Final answer
    x = 9,838.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.