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Finding the Fourth Proportional to 24,596.37, 33,942.83 and 13,986

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Solution

The fourth proportional to 24,596.37, 33,942.83 and 13,986 is: 19,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596.37 : 33,942.83 = 13,986 : x
  2. Step 2: Convert to fraction form
    24,596.37/33,942.83 = 13,986/x
  3. Step 3: Cross multiply
    24,596.37x = 33,942.83 × 13,986
  4. Step 4: Simplify right side
    24,596.37x = 474,724,350.45
  5. Step 5: Solve for x
    x = 474,724,350.45/24,596.37
  6. Step 6: Final answer
    x = 19,300.59

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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.