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Finding the Fourth Proportional to 16,553.97, 22,829.34 and 12,315.65

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Solution

The fourth proportional to 16,553.97, 22,829.34 and 12,315.65 is: 16,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.97 : 22,829.34 = 12,315.65 : x
  2. Step 2: Convert to fraction form
    16,553.97/22,829.34 = 12,315.65/x
  3. Step 3: Cross multiply
    16,553.97x = 22,829.34 × 12,315.65
  4. Step 4: Simplify right side
    16,553.97x = 281,158,093.21
  5. Step 5: Solve for x
    x = 281,158,093.21/16,553.97
  6. Step 6: Final answer
    x = 16,984.33

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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.