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Finding the Fourth Proportional to 13,093.96, 19,640.94 and 9,215.68

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Solution

The fourth proportional to 13,093.96, 19,640.94 and 9,215.68 is: 13,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.96 : 19,640.94 = 9,215.68 : x
  2. Step 2: Convert to fraction form
    13,093.96/19,640.94 = 9,215.68/x
  3. Step 3: Cross multiply
    13,093.96x = 19,640.94 × 9,215.68
  4. Step 4: Simplify right side
    13,093.96x = 181,004,617.94
  5. Step 5: Solve for x
    x = 181,004,617.94/13,093.96
  6. Step 6: Final answer
    x = 13,823.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.