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Finding the Fourth Proportional to 12,765.19, 19,135.99 and 6,846.19

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Solution

The fourth proportional to 12,765.19, 19,135.99 and 6,846.19 is: 10,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.19 : 19,135.99 = 6,846.19 : x
  2. Step 2: Convert to fraction form
    12,765.19/19,135.99 = 6,846.19/x
  3. Step 3: Cross multiply
    12,765.19x = 19,135.99 × 6,846.19
  4. Step 4: Simplify right side
    12,765.19x = 131,008,701.86
  5. Step 5: Solve for x
    x = 131,008,701.86/12,765.19
  6. Step 6: Final answer
    x = 10,262.97

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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.