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Finding the Fourth Proportional to 12,858.86, 19,289.68 and 4,091.74

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Solution

The fourth proportional to 12,858.86, 19,289.68 and 4,091.74 is: 6,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.86 : 19,289.68 = 4,091.74 : x
  2. Step 2: Convert to fraction form
    12,858.86/19,289.68 = 4,091.74/x
  3. Step 3: Cross multiply
    12,858.86x = 19,289.68 × 4,091.74
  4. Step 4: Simplify right side
    12,858.86x = 78,928,296.79
  5. Step 5: Solve for x
    x = 78,928,296.79/12,858.86
  6. Step 6: Final answer
    x = 6,138.05

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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.