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Finding the Fourth Proportional to 29,694.36, 40,978.24 and 16,266.46

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Solution

The fourth proportional to 29,694.36, 40,978.24 and 16,266.46 is: 22,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.36 : 40,978.24 = 16,266.46 : x
  2. Step 2: Convert to fraction form
    29,694.36/40,978.24 = 16,266.46/x
  3. Step 3: Cross multiply
    29,694.36x = 40,978.24 × 16,266.46
  4. Step 4: Simplify right side
    29,694.36x = 666,570,901.83
  5. Step 5: Solve for x
    x = 666,570,901.83/29,694.36
  6. Step 6: Final answer
    x = 22,447.73

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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.