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Finding the Fourth Proportional to 27,142.54, 37,456.48 and 15,205.99

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Solution

The fourth proportional to 27,142.54, 37,456.48 and 15,205.99 is: 20,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.54 : 37,456.48 = 15,205.99 : x
  2. Step 2: Convert to fraction form
    27,142.54/37,456.48 = 15,205.99/x
  3. Step 3: Cross multiply
    27,142.54x = 37,456.48 × 15,205.99
  4. Step 4: Simplify right side
    27,142.54x = 569,562,860.32
  5. Step 5: Solve for x
    x = 569,562,860.32/27,142.54
  6. Step 6: Final answer
    x = 20,984.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.