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Finding the Fourth Proportional to 21,906.40, 30,226.32 and 12,954.16

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Solution

The fourth proportional to 21,906.40, 30,226.32 and 12,954.16 is: 17,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.40 : 30,226.32 = 12,954.16 : x
  2. Step 2: Convert to fraction form
    21,906.40/30,226.32 = 12,954.16/x
  3. Step 3: Cross multiply
    21,906.40x = 30,226.32 × 12,954.16
  4. Step 4: Simplify right side
    21,906.40x = 391,556,585.49
  5. Step 5: Solve for x
    x = 391,556,585.49/21,906.40
  6. Step 6: Final answer
    x = 17,874.07

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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.