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Finding the Fourth Proportional to 11,822.80, 17,668.85 and 11,139.96

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Solution

The fourth proportional to 11,822.80, 17,668.85 and 11,139.96 is: 16,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.80 : 17,668.85 = 11,139.96 : x
  2. Step 2: Convert to fraction form
    11,822.80/17,668.85 = 11,139.96/x
  3. Step 3: Cross multiply
    11,822.80x = 17,668.85 × 11,139.96
  4. Step 4: Simplify right side
    11,822.80x = 196,830,282.25
  5. Step 5: Solve for x
    x = 196,830,282.25/11,822.80
  6. Step 6: Final answer
    x = 16,648.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.