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Finding the Fourth Proportional to 12,816.44, 17,687.90 and 7,779.52

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Solution

The fourth proportional to 12,816.44, 17,687.90 and 7,779.52 is: 10,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.44 : 17,687.90 = 7,779.52 : x
  2. Step 2: Convert to fraction form
    12,816.44/17,687.90 = 7,779.52/x
  3. Step 3: Cross multiply
    12,816.44x = 17,687.90 × 7,779.52
  4. Step 4: Simplify right side
    12,816.44x = 137,603,371.81
  5. Step 5: Solve for x
    x = 137,603,371.81/12,816.44
  6. Step 6: Final answer
    x = 10,736.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.