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Finding the Fourth Proportional to 34,554.12, 51,842.11 and 12,367

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Solution

The fourth proportional to 34,554.12, 51,842.11 and 12,367 is: 18,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,554.12 : 51,842.11 = 12,367 : x
  2. Step 2: Convert to fraction form
    34,554.12/51,842.11 = 12,367/x
  3. Step 3: Cross multiply
    34,554.12x = 51,842.11 × 12,367
  4. Step 4: Simplify right side
    34,554.12x = 641,131,374.37
  5. Step 5: Solve for x
    x = 641,131,374.37/34,554.12
  6. Step 6: Final answer
    x = 18,554.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.