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Finding the Fourth Proportional to 27,412.87, 37,825.66 and 16,078.09

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Solution

The fourth proportional to 27,412.87, 37,825.66 and 16,078.09 is: 22,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.87 : 37,825.66 = 16,078.09 : x
  2. Step 2: Convert to fraction form
    27,412.87/37,825.66 = 16,078.09/x
  3. Step 3: Cross multiply
    27,412.87x = 37,825.66 × 16,078.09
  4. Step 4: Simplify right side
    27,412.87x = 608,164,365.79
  5. Step 5: Solve for x
    x = 608,164,365.79/27,412.87
  6. Step 6: Final answer
    x = 22,185.36

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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.