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Finding the Fourth Proportional to 16,764.90, 23,135.72 and 9,211.11

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Solution

The fourth proportional to 16,764.90, 23,135.72 and 9,211.11 is: 12,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764.90 : 23,135.72 = 9,211.11 : x
  2. Step 2: Convert to fraction form
    16,764.90/23,135.72 = 9,211.11/x
  3. Step 3: Cross multiply
    16,764.90x = 23,135.72 × 9,211.11
  4. Step 4: Simplify right side
    16,764.90x = 213,105,661.85
  5. Step 5: Solve for x
    x = 213,105,661.85/16,764.90
  6. Step 6: Final answer
    x = 12,711.42

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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.