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Finding the Fourth Proportional to 29,684.93, 40,965.41 and 16,257.42

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Solution

The fourth proportional to 29,684.93, 40,965.41 and 16,257.42 is: 22,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.93 : 40,965.41 = 16,257.42 : x
  2. Step 2: Convert to fraction form
    29,684.93/40,965.41 = 16,257.42/x
  3. Step 3: Cross multiply
    29,684.93x = 40,965.41 × 16,257.42
  4. Step 4: Simplify right side
    29,684.93x = 665,991,916.49
  5. Step 5: Solve for x
    x = 665,991,916.49/29,684.93
  6. Step 6: Final answer
    x = 22,435.36

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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.