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Finding the Fourth Proportional to 16,828.24, 25,224.24 and 8,044.48

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Solution

The fourth proportional to 16,828.24, 25,224.24 and 8,044.48 is: 12,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.24 : 25,224.24 = 8,044.48 : x
  2. Step 2: Convert to fraction form
    16,828.24/25,224.24 = 8,044.48/x
  3. Step 3: Cross multiply
    16,828.24x = 25,224.24 × 8,044.48
  4. Step 4: Simplify right side
    16,828.24x = 202,915,894.20
  5. Step 5: Solve for x
    x = 202,915,894.20/16,828.24
  6. Step 6: Final answer
    x = 12,058.06

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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.