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Finding the Fourth Proportional to 12,674.14, 19,003.11 and 5,283.70

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Solution

The fourth proportional to 12,674.14, 19,003.11 and 5,283.70 is: 7,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.14 : 19,003.11 = 5,283.70 : x
  2. Step 2: Convert to fraction form
    12,674.14/19,003.11 = 5,283.70/x
  3. Step 3: Cross multiply
    12,674.14x = 19,003.11 × 5,283.70
  4. Step 4: Simplify right side
    12,674.14x = 100,406,732.31
  5. Step 5: Solve for x
    x = 100,406,732.31/12,674.14
  6. Step 6: Final answer
    x = 7,922.17

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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.