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Finding the Fourth Proportional to 24,850.24, 37,281.84 and 9,268

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Solution

The fourth proportional to 24,850.24, 37,281.84 and 9,268 is: 13,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.24 : 37,281.84 = 9,268 : x
  2. Step 2: Convert to fraction form
    24,850.24/37,281.84 = 9,268/x
  3. Step 3: Cross multiply
    24,850.24x = 37,281.84 × 9,268
  4. Step 4: Simplify right side
    24,850.24x = 345,528,093.12
  5. Step 5: Solve for x
    x = 345,528,093.12/24,850.24
  6. Step 6: Final answer
    x = 13,904.42

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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.