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Finding the Fourth Proportional to 21,921.61, 30,244.64 and 13,414.86

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Solution

The fourth proportional to 21,921.61, 30,244.64 and 13,414.86 is: 18,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921.61 : 30,244.64 = 13,414.86 : x
  2. Step 2: Convert to fraction form
    21,921.61/30,244.64 = 13,414.86/x
  3. Step 3: Cross multiply
    21,921.61x = 30,244.64 × 13,414.86
  4. Step 4: Simplify right side
    21,921.61x = 405,727,611.35
  5. Step 5: Solve for x
    x = 405,727,611.35/21,921.61
  6. Step 6: Final answer
    x = 18,508.11

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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.