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Finding the Fourth Proportional to 13,409.67, 18,508.03 and 7,745.34

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Solution

The fourth proportional to 13,409.67, 18,508.03 and 7,745.34 is: 10,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.67 : 18,508.03 = 7,745.34 : x
  2. Step 2: Convert to fraction form
    13,409.67/18,508.03 = 7,745.34/x
  3. Step 3: Cross multiply
    13,409.67x = 18,508.03 × 7,745.34
  4. Step 4: Simplify right side
    13,409.67x = 143,350,985.08
  5. Step 5: Solve for x
    x = 143,350,985.08/13,409.67
  6. Step 6: Final answer
    x = 10,690.12

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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.