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Finding the Fourth Proportional to 12,728.14, 19,055.25 and 7,782.68

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Solution

The fourth proportional to 12,728.14, 19,055.25 and 7,782.68 is: 11,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.14 : 19,055.25 = 7,782.68 : x
  2. Step 2: Convert to fraction form
    12,728.14/19,055.25 = 7,782.68/x
  3. Step 3: Cross multiply
    12,728.14x = 19,055.25 × 7,782.68
  4. Step 4: Simplify right side
    12,728.14x = 148,300,960.71
  5. Step 5: Solve for x
    x = 148,300,960.71/12,728.14
  6. Step 6: Final answer
    x = 11,651.43

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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.