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Finding the Fourth Proportional to 12,794.63, 19,185.26 and 5,768.58

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Solution

The fourth proportional to 12,794.63, 19,185.26 and 5,768.58 is: 8,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.63 : 19,185.26 = 5,768.58 : x
  2. Step 2: Convert to fraction form
    12,794.63/19,185.26 = 5,768.58/x
  3. Step 3: Cross multiply
    12,794.63x = 19,185.26 × 5,768.58
  4. Step 4: Simplify right side
    12,794.63x = 110,671,750.23
  5. Step 5: Solve for x
    x = 110,671,750.23/12,794.63
  6. Step 6: Final answer
    x = 8,649.86

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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.