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Finding the Fourth Proportional to 12,845.29, 17,727.77 and 7,539.99

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Solution

The fourth proportional to 12,845.29, 17,727.77 and 7,539.99 is: 10,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.29 : 17,727.77 = 7,539.99 : x
  2. Step 2: Convert to fraction form
    12,845.29/17,727.77 = 7,539.99/x
  3. Step 3: Cross multiply
    12,845.29x = 17,727.77 × 7,539.99
  4. Step 4: Simplify right side
    12,845.29x = 133,667,227.37
  5. Step 5: Solve for x
    x = 133,667,227.37/12,845.29
  6. Step 6: Final answer
    x = 10,405.94

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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.