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Finding the Fourth Proportional to 29,684.80, 40,964.94 and 16,256.89

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Solution

The fourth proportional to 29,684.80, 40,964.94 and 16,256.89 is: 22,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.80 : 40,964.94 = 16,256.89 : x
  2. Step 2: Convert to fraction form
    29,684.80/40,964.94 = 16,256.89/x
  3. Step 3: Cross multiply
    29,684.80x = 40,964.94 × 16,256.89
  4. Step 4: Simplify right side
    29,684.80x = 665,962,523.44
  5. Step 5: Solve for x
    x = 665,962,523.44/29,684.80
  6. Step 6: Final answer
    x = 22,434.46

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1.5x scale

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.