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Finding the Fourth Proportional to 29,685.84, 40,966.41 and 16,257.11

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Solution

The fourth proportional to 29,685.84, 40,966.41 and 16,257.11 is: 22,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.84 : 40,966.41 = 16,257.11 : x
  2. Step 2: Convert to fraction form
    29,685.84/40,966.41 = 16,257.11/x
  3. Step 3: Cross multiply
    29,685.84x = 40,966.41 × 16,257.11
  4. Step 4: Simplify right side
    29,685.84x = 665,995,198.36
  5. Step 5: Solve for x
    x = 665,995,198.36/29,685.84
  6. Step 6: Final answer
    x = 22,434.78

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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.