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Finding the Fourth Proportional to 21,274.25, 29,359.17 and 11,714.87

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Solution

The fourth proportional to 21,274.25, 29,359.17 and 11,714.87 is: 16,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.25 : 29,359.17 = 11,714.87 : x
  2. Step 2: Convert to fraction form
    21,274.25/29,359.17 = 11,714.87/x
  3. Step 3: Cross multiply
    21,274.25x = 29,359.17 × 11,714.87
  4. Step 4: Simplify right side
    21,274.25x = 343,938,713.06
  5. Step 5: Solve for x
    x = 343,938,713.06/21,274.25
  6. Step 6: Final answer
    x = 16,166.91

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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.