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Finding the Fourth Proportional to 24,932.25, 34,408.94 and 13,754.25

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Solution

The fourth proportional to 24,932.25, 34,408.94 and 13,754.25 is: 18,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.25 : 34,408.94 = 13,754.25 : x
  2. Step 2: Convert to fraction form
    24,932.25/34,408.94 = 13,754.25/x
  3. Step 3: Cross multiply
    24,932.25x = 34,408.94 × 13,754.25
  4. Step 4: Simplify right side
    24,932.25x = 473,269,094.22
  5. Step 5: Solve for x
    x = 473,269,094.22/24,932.25
  6. Step 6: Final answer
    x = 18,982.21

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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.