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Finding the Fourth Proportional to 24,458.42, 36,682.50 and 6,923.54

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Solution

The fourth proportional to 24,458.42, 36,682.50 and 6,923.54 is: 10,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.42 : 36,682.50 = 6,923.54 : x
  2. Step 2: Convert to fraction form
    24,458.42/36,682.50 = 6,923.54/x
  3. Step 3: Cross multiply
    24,458.42x = 36,682.50 × 6,923.54
  4. Step 4: Simplify right side
    24,458.42x = 253,972,756.05
  5. Step 5: Solve for x
    x = 253,972,756.05/24,458.42
  6. Step 6: Final answer
    x = 10,383.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.