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Finding the Fourth Proportional to 12,739.77, 19,074.23 and 6,486.32

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Solution

The fourth proportional to 12,739.77, 19,074.23 and 6,486.32 is: 9,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.77 : 19,074.23 = 6,486.32 : x
  2. Step 2: Convert to fraction form
    12,739.77/19,074.23 = 6,486.32/x
  3. Step 3: Cross multiply
    12,739.77x = 19,074.23 × 6,486.32
  4. Step 4: Simplify right side
    12,739.77x = 123,721,431.73
  5. Step 5: Solve for x
    x = 123,721,431.73/12,739.77
  6. Step 6: Final answer
    x = 9,711.43

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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.