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Finding the Fourth Proportional to 12,825.82, 19,245.93 and 5,900.86

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Solution

The fourth proportional to 12,825.82, 19,245.93 and 5,900.86 is: 8,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.82 : 19,245.93 = 5,900.86 : x
  2. Step 2: Convert to fraction form
    12,825.82/19,245.93 = 5,900.86/x
  3. Step 3: Cross multiply
    12,825.82x = 19,245.93 × 5,900.86
  4. Step 4: Simplify right side
    12,825.82x = 113,567,538.50
  5. Step 5: Solve for x
    x = 113,567,538.50/12,825.82
  6. Step 6: Final answer
    x = 8,854.60

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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.