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Finding the Fourth Proportional to 27,884.66, 38,478.44 and 15,946.07

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Solution

The fourth proportional to 27,884.66, 38,478.44 and 15,946.07 is: 22,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.66 : 38,478.44 = 15,946.07 : x
  2. Step 2: Convert to fraction form
    27,884.66/38,478.44 = 15,946.07/x
  3. Step 3: Cross multiply
    27,884.66x = 38,478.44 × 15,946.07
  4. Step 4: Simplify right side
    27,884.66x = 613,579,745.20
  5. Step 5: Solve for x
    x = 613,579,745.20/27,884.66
  6. Step 6: Final answer
    x = 22,004.21

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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.