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Finding the Fourth Proportional to 16,394.71, 22,624.02 and 9,682.49

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Solution

The fourth proportional to 16,394.71, 22,624.02 and 9,682.49 is: 13,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.71 : 22,624.02 = 9,682.49 : x
  2. Step 2: Convert to fraction form
    16,394.71/22,624.02 = 9,682.49/x
  3. Step 3: Cross multiply
    16,394.71x = 22,624.02 × 9,682.49
  4. Step 4: Simplify right side
    16,394.71x = 219,056,847.41
  5. Step 5: Solve for x
    x = 219,056,847.41/16,394.71
  6. Step 6: Final answer
    x = 13,361.44

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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.