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Finding the Fourth Proportional to 21,037.44, 29,031.20 and 11,606

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Solution

The fourth proportional to 21,037.44, 29,031.20 and 11,606 is: 16,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,037.44 : 29,031.20 = 11,606 : x
  2. Step 2: Convert to fraction form
    21,037.44/29,031.20 = 11,606/x
  3. Step 3: Cross multiply
    21,037.44x = 29,031.20 × 11,606
  4. Step 4: Simplify right side
    21,037.44x = 336,936,107.20
  5. Step 5: Solve for x
    x = 336,936,107.20/21,037.44
  6. Step 6: Final answer
    x = 16,016.02

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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.