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Finding the Fourth Proportional to 29,685.37, 40,965.63 and 16,256.38

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Solution

The fourth proportional to 29,685.37, 40,965.63 and 16,256.38 is: 22,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.37 : 40,965.63 = 16,256.38 : x
  2. Step 2: Convert to fraction form
    29,685.37/40,965.63 = 16,256.38/x
  3. Step 3: Cross multiply
    29,685.37x = 40,965.63 × 16,256.38
  4. Step 4: Simplify right side
    29,685.37x = 665,952,848.22
  5. Step 5: Solve for x
    x = 665,952,848.22/29,685.37
  6. Step 6: Final answer
    x = 22,433.71

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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.