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Finding the Fourth Proportional to 21,971.52, 30,310.20 and 14,414.76

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Solution

The fourth proportional to 21,971.52, 30,310.20 and 14,414.76 is: 19,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.52 : 30,310.20 = 14,414.76 : x
  2. Step 2: Convert to fraction form
    21,971.52/30,310.20 = 14,414.76/x
  3. Step 3: Cross multiply
    21,971.52x = 30,310.20 × 14,414.76
  4. Step 4: Simplify right side
    21,971.52x = 436,914,258.55
  5. Step 5: Solve for x
    x = 436,914,258.55/21,971.52
  6. Step 6: Final answer
    x = 19,885.48

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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.