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Finding the Fourth Proportional to 12,834.36, 19,243.50 and 5,034.12

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Solution

The fourth proportional to 12,834.36, 19,243.50 and 5,034.12 is: 7,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.36 : 19,243.50 = 5,034.12 : x
  2. Step 2: Convert to fraction form
    12,834.36/19,243.50 = 5,034.12/x
  3. Step 3: Cross multiply
    12,834.36x = 19,243.50 × 5,034.12
  4. Step 4: Simplify right side
    12,834.36x = 96,874,088.22
  5. Step 5: Solve for x
    x = 96,874,088.22/12,834.36
  6. Step 6: Final answer
    x = 7,548.03

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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.