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Finding the Fourth Proportional to 22,446.45, 30,974.00 and 13,014

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Solution

The fourth proportional to 22,446.45, 30,974.00 and 13,014 is: 17,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.45 : 30,974.00 = 13,014 : x
  2. Step 2: Convert to fraction form
    22,446.45/30,974.00 = 13,014/x
  3. Step 3: Cross multiply
    22,446.45x = 30,974.00 × 13,014
  4. Step 4: Simplify right side
    22,446.45x = 403,095,570.93
  5. Step 5: Solve for x
    x = 403,095,570.93/22,446.45
  6. Step 6: Final answer
    x = 17,958.10

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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.