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Finding the Fourth Proportional to 12,846.15, 19,271.97 and 4,081.68

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Solution

The fourth proportional to 12,846.15, 19,271.97 and 4,081.68 is: 6,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.15 : 19,271.97 = 4,081.68 : x
  2. Step 2: Convert to fraction form
    12,846.15/19,271.97 = 4,081.68/x
  3. Step 3: Cross multiply
    12,846.15x = 19,271.97 × 4,081.68
  4. Step 4: Simplify right side
    12,846.15x = 78,662,014.51
  5. Step 5: Solve for x
    x = 78,662,014.51/12,846.15
  6. Step 6: Final answer
    x = 6,123.39

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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.