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Finding the Fourth Proportional to 24,464.78, 36,709.32 and 9,684.31

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Solution

The fourth proportional to 24,464.78, 36,709.32 and 9,684.31 is: 14,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.78 : 36,709.32 = 9,684.31 : x
  2. Step 2: Convert to fraction form
    24,464.78/36,709.32 = 9,684.31/x
  3. Step 3: Cross multiply
    24,464.78x = 36,709.32 × 9,684.31
  4. Step 4: Simplify right side
    24,464.78x = 355,504,251.22
  5. Step 5: Solve for x
    x = 355,504,251.22/24,464.78
  6. Step 6: Final answer
    x = 14,531.27

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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.