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Finding the Fourth Proportional to 12,883.14, 19,285.81 and 11,651.13

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Solution

The fourth proportional to 12,883.14, 19,285.81 and 11,651.13 is: 17,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.14 : 19,285.81 = 11,651.13 : x
  2. Step 2: Convert to fraction form
    12,883.14/19,285.81 = 11,651.13/x
  3. Step 3: Cross multiply
    12,883.14x = 19,285.81 × 11,651.13
  4. Step 4: Simplify right side
    12,883.14x = 224,701,450.34
  5. Step 5: Solve for x
    x = 224,701,450.34/12,883.14
  6. Step 6: Final answer
    x = 17,441.51

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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.