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Finding the Fourth Proportional to 13,034.43, 19,535.97 and 6,004.78

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Solution

The fourth proportional to 13,034.43, 19,535.97 and 6,004.78 is: 8,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.43 : 19,535.97 = 6,004.78 : x
  2. Step 2: Convert to fraction form
    13,034.43/19,535.97 = 6,004.78/x
  3. Step 3: Cross multiply
    13,034.43x = 19,535.97 × 6,004.78
  4. Step 4: Simplify right side
    13,034.43x = 117,309,201.94
  5. Step 5: Solve for x
    x = 117,309,201.94/13,034.43
  6. Step 6: Final answer
    x = 8,999.95

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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.