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Finding the Fourth Proportional to 21,794.34, 30,071.50 and 14,251.75

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Solution

The fourth proportional to 21,794.34, 30,071.50 and 14,251.75 is: 19,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.34 : 30,071.50 = 14,251.75 : x
  2. Step 2: Convert to fraction form
    21,794.34/30,071.50 = 14,251.75/x
  3. Step 3: Cross multiply
    21,794.34x = 30,071.50 × 14,251.75
  4. Step 4: Simplify right side
    21,794.34x = 428,571,469.48
  5. Step 5: Solve for x
    x = 428,571,469.48/21,794.34
  6. Step 6: Final answer
    x = 19,664.35

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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.