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Finding the Fourth Proportional to 29,434, 40,618.92 and 16,186

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Solution

The fourth proportional to 29,434, 40,618.92 and 16,186 is: 22,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,434 : 40,618.92 = 16,186 : x
  2. Step 2: Convert to fraction form
    29,434/40,618.92 = 16,186/x
  3. Step 3: Cross multiply
    29,434x = 40,618.92 × 16,186
  4. Step 4: Simplify right side
    29,434x = 657,457,839.12
  5. Step 5: Solve for x
    x = 657,457,839.12/29,434
  6. Step 6: Final answer
    x = 22,336.68

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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.