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Finding the Fourth Proportional to 21,049, 29,044.31 and 12,094.77

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Solution

The fourth proportional to 21,049, 29,044.31 and 12,094.77 is: 16,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049 : 29,044.31 = 12,094.77 : x
  2. Step 2: Convert to fraction form
    21,049/29,044.31 = 12,094.77/x
  3. Step 3: Cross multiply
    21,049x = 29,044.31 × 12,094.77
  4. Step 4: Simplify right side
    21,049x = 351,284,249.26
  5. Step 5: Solve for x
    x = 351,284,249.26/21,049
  6. Step 6: Final answer
    x = 16,688.88

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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.