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Finding the Fourth Proportional to 12,825.39, 19,238.09 and 5,899.95

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Solution

The fourth proportional to 12,825.39, 19,238.09 and 5,899.95 is: 8,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.39 : 19,238.09 = 5,899.95 : x
  2. Step 2: Convert to fraction form
    12,825.39/19,238.09 = 5,899.95/x
  3. Step 3: Cross multiply
    12,825.39x = 19,238.09 × 5,899.95
  4. Step 4: Simplify right side
    12,825.39x = 113,503,739.60
  5. Step 5: Solve for x
    x = 113,503,739.60/12,825.39
  6. Step 6: Final answer
    x = 8,849.93

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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.