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Finding the Fourth Proportional to 16,837.36, 25,256 and 5,738.72

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Solution

The fourth proportional to 16,837.36, 25,256 and 5,738.72 is: 8,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837.36 : 25,256 = 5,738.72 : x
  2. Step 2: Convert to fraction form
    16,837.36/25,256 = 5,738.72/x
  3. Step 3: Cross multiply
    16,837.36x = 25,256 × 5,738.72
  4. Step 4: Simplify right side
    16,837.36x = 144,937,112.32
  5. Step 5: Solve for x
    x = 144,937,112.32/16,837.36
  6. Step 6: Final answer
    x = 8,608.07

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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.