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Finding the Fourth Proportional to 24,596.37, 33,947.34 and 14,524.14

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Solution

The fourth proportional to 24,596.37, 33,947.34 and 14,524.14 is: 20,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596.37 : 33,947.34 = 14,524.14 : x
  2. Step 2: Convert to fraction form
    24,596.37/33,947.34 = 14,524.14/x
  3. Step 3: Cross multiply
    24,596.37x = 33,947.34 × 14,524.14
  4. Step 4: Simplify right side
    24,596.37x = 493,055,918.79
  5. Step 5: Solve for x
    x = 493,055,918.79/24,596.37
  6. Step 6: Final answer
    x = 20,045.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.