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Finding the Fourth Proportional to 27,682.54, 41,461.38 and 12,860.26

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Solution

The fourth proportional to 27,682.54, 41,461.38 and 12,860.26 is: 19,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.54 : 41,461.38 = 12,860.26 : x
  2. Step 2: Convert to fraction form
    27,682.54/41,461.38 = 12,860.26/x
  3. Step 3: Cross multiply
    27,682.54x = 41,461.38 × 12,860.26
  4. Step 4: Simplify right side
    27,682.54x = 533,204,023.11
  5. Step 5: Solve for x
    x = 533,204,023.11/27,682.54
  6. Step 6: Final answer
    x = 19,261.39

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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.