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Finding the Fourth Proportional to 29,493, 40,700.34 and 16,245

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Solution

The fourth proportional to 29,493, 40,700.34 and 16,245 is: 22,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493 : 40,700.34 = 16,245 : x
  2. Step 2: Convert to fraction form
    29,493/40,700.34 = 16,245/x
  3. Step 3: Cross multiply
    29,493x = 40,700.34 × 16,245
  4. Step 4: Simplify right side
    29,493x = 661,177,023.30
  5. Step 5: Solve for x
    x = 661,177,023.30/29,493
  6. Step 6: Final answer
    x = 22,418.10

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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.