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Finding the Fourth Proportional to 16,771.67, 23,145.34 and 9,218.20

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Solution

The fourth proportional to 16,771.67, 23,145.34 and 9,218.20 is: 12,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771.67 : 23,145.34 = 9,218.20 : x
  2. Step 2: Convert to fraction form
    16,771.67/23,145.34 = 9,218.20/x
  3. Step 3: Cross multiply
    16,771.67x = 23,145.34 × 9,218.20
  4. Step 4: Simplify right side
    16,771.67x = 213,358,292.28
  5. Step 5: Solve for x
    x = 213,358,292.28/16,771.67
  6. Step 6: Final answer
    x = 12,721.35

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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.