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Finding the Fourth Proportional to 16,828.82, 23,223.48 and 9,658.44

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Solution

The fourth proportional to 16,828.82, 23,223.48 and 9,658.44 is: 13,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.82 : 23,223.48 = 9,658.44 : x
  2. Step 2: Convert to fraction form
    16,828.82/23,223.48 = 9,658.44/x
  3. Step 3: Cross multiply
    16,828.82x = 23,223.48 × 9,658.44
  4. Step 4: Simplify right side
    16,828.82x = 224,302,588.17
  5. Step 5: Solve for x
    x = 224,302,588.17/16,828.82
  6. Step 6: Final answer
    x = 13,328.48

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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.