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Finding the Fourth Proportional to 27,021, 40,504.14 and 12,960.36

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Solution

The fourth proportional to 27,021, 40,504.14 and 12,960.36 is: 19,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021 : 40,504.14 = 12,960.36 : x
  2. Step 2: Convert to fraction form
    27,021/40,504.14 = 12,960.36/x
  3. Step 3: Cross multiply
    27,021x = 40,504.14 × 12,960.36
  4. Step 4: Simplify right side
    27,021x = 524,948,235.89
  5. Step 5: Solve for x
    x = 524,948,235.89/27,021
  6. Step 6: Final answer
    x = 19,427.42

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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.