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Finding the Fourth Proportional to 13,265.50, 18,305.19 and 7,297.42

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Solution

The fourth proportional to 13,265.50, 18,305.19 and 7,297.42 is: 10,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.50 : 18,305.19 = 7,297.42 : x
  2. Step 2: Convert to fraction form
    13,265.50/18,305.19 = 7,297.42/x
  3. Step 3: Cross multiply
    13,265.50x = 18,305.19 × 7,297.42
  4. Step 4: Simplify right side
    13,265.50x = 133,580,659.61
  5. Step 5: Solve for x
    x = 133,580,659.61/13,265.50
  6. Step 6: Final answer
    x = 10,069.78

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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.