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Finding the Fourth Proportional to 12,950.82, 19,436.39 and 9,029.70

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Solution

The fourth proportional to 12,950.82, 19,436.39 and 9,029.70 is: 13,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.82 : 19,436.39 = 9,029.70 : x
  2. Step 2: Convert to fraction form
    12,950.82/19,436.39 = 9,029.70/x
  3. Step 3: Cross multiply
    12,950.82x = 19,436.39 × 9,029.70
  4. Step 4: Simplify right side
    12,950.82x = 175,504,770.78
  5. Step 5: Solve for x
    x = 175,504,770.78/12,950.82
  6. Step 6: Final answer
    x = 13,551.63

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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.