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Finding the Fourth Proportional to 12,857.47, 19,289.85 and 4,093.07

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Solution

The fourth proportional to 12,857.47, 19,289.85 and 4,093.07 is: 6,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.47 : 19,289.85 = 4,093.07 : x
  2. Step 2: Convert to fraction form
    12,857.47/19,289.85 = 4,093.07/x
  3. Step 3: Cross multiply
    12,857.47x = 19,289.85 × 4,093.07
  4. Step 4: Simplify right side
    12,857.47x = 78,954,594.54
  5. Step 5: Solve for x
    x = 78,954,594.54/12,857.47
  6. Step 6: Final answer
    x = 6,140.76

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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.