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Finding the Fourth Proportional to 29,694.94, 40,979.70 and 16,266.08

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Solution

The fourth proportional to 29,694.94, 40,979.70 and 16,266.08 is: 22,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.94 : 40,979.70 = 16,266.08 : x
  2. Step 2: Convert to fraction form
    29,694.94/40,979.70 = 16,266.08/x
  3. Step 3: Cross multiply
    29,694.94x = 40,979.70 × 16,266.08
  4. Step 4: Simplify right side
    29,694.94x = 666,579,181.03
  5. Step 5: Solve for x
    x = 666,579,181.03/29,694.94
  6. Step 6: Final answer
    x = 22,447.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.