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Finding the Fourth Proportional to 13,474.35, 18,593.42 and 7,506.27

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Solution

The fourth proportional to 13,474.35, 18,593.42 and 7,506.27 is: 10,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.35 : 18,593.42 = 7,506.27 : x
  2. Step 2: Convert to fraction form
    13,474.35/18,593.42 = 7,506.27/x
  3. Step 3: Cross multiply
    13,474.35x = 18,593.42 × 7,506.27
  4. Step 4: Simplify right side
    13,474.35x = 139,567,193.21
  5. Step 5: Solve for x
    x = 139,567,193.21/13,474.35
  6. Step 6: Final answer
    x = 10,357.99

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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.