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Finding the Fourth Proportional to 22,448.46, 30,976.76 and 13,016

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Solution

The fourth proportional to 22,448.46, 30,976.76 and 13,016 is: 17,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.46 : 30,976.76 = 13,016 : x
  2. Step 2: Convert to fraction form
    22,448.46/30,976.76 = 13,016/x
  3. Step 3: Cross multiply
    22,448.46x = 30,976.76 × 13,016
  4. Step 4: Simplify right side
    22,448.46x = 403,193,508.16
  5. Step 5: Solve for x
    x = 403,193,508.16/22,448.46
  6. Step 6: Final answer
    x = 17,960.85

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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.