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Finding the Fourth Proportional to 12,297.81, 18,446.73 and 5,273.29

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Solution

The fourth proportional to 12,297.81, 18,446.73 and 5,273.29 is: 7,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.81 : 18,446.73 = 5,273.29 : x
  2. Step 2: Convert to fraction form
    12,297.81/18,446.73 = 5,273.29/x
  3. Step 3: Cross multiply
    12,297.81x = 18,446.73 × 5,273.29
  4. Step 4: Simplify right side
    12,297.81x = 97,274,960.13
  5. Step 5: Solve for x
    x = 97,274,960.13/12,297.81
  6. Step 6: Final answer
    x = 7,909.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.