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Finding the Fourth Proportional to 12,928.94, 19,422.57 and 7,738.46

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Solution

The fourth proportional to 12,928.94, 19,422.57 and 7,738.46 is: 11,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.94 : 19,422.57 = 7,738.46 : x
  2. Step 2: Convert to fraction form
    12,928.94/19,422.57 = 7,738.46/x
  3. Step 3: Cross multiply
    12,928.94x = 19,422.57 × 7,738.46
  4. Step 4: Simplify right side
    12,928.94x = 150,300,781.04
  5. Step 5: Solve for x
    x = 150,300,781.04/12,928.94
  6. Step 6: Final answer
    x = 11,625.14

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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.