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Finding the Fourth Proportional to 13,294.29, 18,346.32 and 7,629.96

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Solution

The fourth proportional to 13,294.29, 18,346.32 and 7,629.96 is: 10,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.29 : 18,346.32 = 7,629.96 : x
  2. Step 2: Convert to fraction form
    13,294.29/18,346.32 = 7,629.96/x
  3. Step 3: Cross multiply
    13,294.29x = 18,346.32 × 7,629.96
  4. Step 4: Simplify right side
    13,294.29x = 139,981,687.75
  5. Step 5: Solve for x
    x = 139,981,687.75/13,294.29
  6. Step 6: Final answer
    x = 10,529.46

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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.