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Finding the Fourth Proportional to 29,004.68, 40,016.94 and 16,256

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Solution

The fourth proportional to 29,004.68, 40,016.94 and 16,256 is: 22,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,004.68 : 40,016.94 = 16,256 : x
  2. Step 2: Convert to fraction form
    29,004.68/40,016.94 = 16,256/x
  3. Step 3: Cross multiply
    29,004.68x = 40,016.94 × 16,256
  4. Step 4: Simplify right side
    29,004.68x = 650,515,376.64
  5. Step 5: Solve for x
    x = 650,515,376.64/29,004.68
  6. Step 6: Final answer
    x = 22,427.95

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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.