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Finding the Fourth Proportional to 16,542.82, 22,826.52 and 9,828.28

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Solution

The fourth proportional to 16,542.82, 22,826.52 and 9,828.28 is: 13,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.82 : 22,826.52 = 9,828.28 : x
  2. Step 2: Convert to fraction form
    16,542.82/22,826.52 = 9,828.28/x
  3. Step 3: Cross multiply
    16,542.82x = 22,826.52 × 9,828.28
  4. Step 4: Simplify right side
    16,542.82x = 224,345,315.85
  5. Step 5: Solve for x
    x = 224,345,315.85/16,542.82
  6. Step 6: Final answer
    x = 13,561.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.