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Finding the Fourth Proportional to 13,097.27, 18,074.87 and 7,721.30

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Solution

The fourth proportional to 13,097.27, 18,074.87 and 7,721.30 is: 10,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.27 : 18,074.87 = 7,721.30 : x
  2. Step 2: Convert to fraction form
    13,097.27/18,074.87 = 7,721.30/x
  3. Step 3: Cross multiply
    13,097.27x = 18,074.87 × 7,721.30
  4. Step 4: Simplify right side
    13,097.27x = 139,561,493.73
  5. Step 5: Solve for x
    x = 139,561,493.73/13,097.27
  6. Step 6: Final answer
    x = 10,655.77

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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.