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Finding the Fourth Proportional to 27,851.58, 41,782.86 and 12,269.34

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Solution

The fourth proportional to 27,851.58, 41,782.86 and 12,269.34 is: 18,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.58 : 41,782.86 = 12,269.34 : x
  2. Step 2: Convert to fraction form
    27,851.58/41,782.86 = 12,269.34/x
  3. Step 3: Cross multiply
    27,851.58x = 41,782.86 × 12,269.34
  4. Step 4: Simplify right side
    27,851.58x = 512,648,115.51
  5. Step 5: Solve for x
    x = 512,648,115.51/27,851.58
  6. Step 6: Final answer
    x = 18,406.43

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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.