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Finding the Fourth Proportional to 18,109, 24,991.86 and 10,658.44

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Solution

The fourth proportional to 18,109, 24,991.86 and 10,658.44 is: 14,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,109 : 24,991.86 = 10,658.44 : x
  2. Step 2: Convert to fraction form
    18,109/24,991.86 = 10,658.44/x
  3. Step 3: Cross multiply
    18,109x = 24,991.86 × 10,658.44
  4. Step 4: Simplify right side
    18,109x = 266,374,240.30
  5. Step 5: Solve for x
    x = 266,374,240.30/18,109
  6. Step 6: Final answer
    x = 14,709.49

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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.