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Finding the Fourth Proportional to 13,121.86, 18,109.02 and 7,456.54

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Solution

The fourth proportional to 13,121.86, 18,109.02 and 7,456.54 is: 10,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.86 : 18,109.02 = 7,456.54 : x
  2. Step 2: Convert to fraction form
    13,121.86/18,109.02 = 7,456.54/x
  3. Step 3: Cross multiply
    13,121.86x = 18,109.02 × 7,456.54
  4. Step 4: Simplify right side
    13,121.86x = 135,030,631.99
  5. Step 5: Solve for x
    x = 135,030,631.99/13,121.86
  6. Step 6: Final answer
    x = 10,290.51

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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.