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Finding the Fourth Proportional to 21,514.16, 29,689.91 and 11,954.91

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Solution

The fourth proportional to 21,514.16, 29,689.91 and 11,954.91 is: 16,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.16 : 29,689.91 = 11,954.91 : x
  2. Step 2: Convert to fraction form
    21,514.16/29,689.91 = 11,954.91/x
  3. Step 3: Cross multiply
    21,514.16x = 29,689.91 × 11,954.91
  4. Step 4: Simplify right side
    21,514.16x = 354,940,201.96
  5. Step 5: Solve for x
    x = 354,940,201.96/21,514.16
  6. Step 6: Final answer
    x = 16,497.98

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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.