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Finding the Fourth Proportional to 13,712.08, 18,922.59 and 7,745.68

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Solution

The fourth proportional to 13,712.08, 18,922.59 and 7,745.68 is: 10,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.08 : 18,922.59 = 7,745.68 : x
  2. Step 2: Convert to fraction form
    13,712.08/18,922.59 = 7,745.68/x
  3. Step 3: Cross multiply
    13,712.08x = 18,922.59 × 7,745.68
  4. Step 4: Simplify right side
    13,712.08x = 146,568,326.91
  5. Step 5: Solve for x
    x = 146,568,326.91/13,712.08
  6. Step 6: Final answer
    x = 10,688.99

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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.