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Finding the Fourth Proportional to 13,379.09, 18,461.64 and 7,409.25

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Solution

The fourth proportional to 13,379.09, 18,461.64 and 7,409.25 is: 10,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.09 : 18,461.64 = 7,409.25 : x
  2. Step 2: Convert to fraction form
    13,379.09/18,461.64 = 7,409.25/x
  3. Step 3: Cross multiply
    13,379.09x = 18,461.64 × 7,409.25
  4. Step 4: Simplify right side
    13,379.09x = 136,786,906.17
  5. Step 5: Solve for x
    x = 136,786,906.17/13,379.09
  6. Step 6: Final answer
    x = 10,223.94

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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.