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Finding the Fourth Proportional to 21,973.11, 30,324.75 and 12,414.75

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Solution

The fourth proportional to 21,973.11, 30,324.75 and 12,414.75 is: 17,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.11 : 30,324.75 = 12,414.75 : x
  2. Step 2: Convert to fraction form
    21,973.11/30,324.75 = 12,414.75/x
  3. Step 3: Cross multiply
    21,973.11x = 30,324.75 × 12,414.75
  4. Step 4: Simplify right side
    21,973.11x = 376,474,190.06
  5. Step 5: Solve for x
    x = 376,474,190.06/21,973.11
  6. Step 6: Final answer
    x = 17,133.40

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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.