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Finding the Fourth Proportional to 16,828.94, 23,220.20 and 9,658.42

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Solution

The fourth proportional to 16,828.94, 23,220.20 and 9,658.42 is: 13,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.94 : 23,220.20 = 9,658.42 : x
  2. Step 2: Convert to fraction form
    16,828.94/23,220.20 = 9,658.42/x
  3. Step 3: Cross multiply
    16,828.94x = 23,220.20 × 9,658.42
  4. Step 4: Simplify right side
    16,828.94x = 224,270,444.08
  5. Step 5: Solve for x
    x = 224,270,444.08/16,828.94
  6. Step 6: Final answer
    x = 13,326.47

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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.