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Finding the Fourth Proportional to 27,628.40, 41,442.56 and 12,829.22

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Solution

The fourth proportional to 27,628.40, 41,442.56 and 12,829.22 is: 19,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.40 : 41,442.56 = 12,829.22 : x
  2. Step 2: Convert to fraction form
    27,628.40/41,442.56 = 12,829.22/x
  3. Step 3: Cross multiply
    27,628.40x = 41,442.56 × 12,829.22
  4. Step 4: Simplify right side
    27,628.40x = 531,675,655.46
  5. Step 5: Solve for x
    x = 531,675,655.46/27,628.40
  6. Step 6: Final answer
    x = 19,243.81

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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.