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Finding the Fourth Proportional to 21,212.64, 29,274.48 and 11,781

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Solution

The fourth proportional to 21,212.64, 29,274.48 and 11,781 is: 16,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.64 : 29,274.48 = 11,781 : x
  2. Step 2: Convert to fraction form
    21,212.64/29,274.48 = 11,781/x
  3. Step 3: Cross multiply
    21,212.64x = 29,274.48 × 11,781
  4. Step 4: Simplify right side
    21,212.64x = 344,882,648.88
  5. Step 5: Solve for x
    x = 344,882,648.88/21,212.64
  6. Step 6: Final answer
    x = 16,258.36

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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.