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Finding the Fourth Proportional to 12,806.59, 19,215.69 and 5,782.81

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Solution

The fourth proportional to 12,806.59, 19,215.69 and 5,782.81 is: 8,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.59 : 19,215.69 = 5,782.81 : x
  2. Step 2: Convert to fraction form
    12,806.59/19,215.69 = 5,782.81/x
  3. Step 3: Cross multiply
    12,806.59x = 19,215.69 × 5,782.81
  4. Step 4: Simplify right side
    12,806.59x = 111,120,684.29
  5. Step 5: Solve for x
    x = 111,120,684.29/12,806.59
  6. Step 6: Final answer
    x = 8,676.84

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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.