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Finding the Fourth Proportional to 27,255.49, 40,876.40 and 9,721.22

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Solution

The fourth proportional to 27,255.49, 40,876.40 and 9,721.22 is: 14,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,255.49 : 40,876.40 = 9,721.22 : x
  2. Step 2: Convert to fraction form
    27,255.49/40,876.40 = 9,721.22/x
  3. Step 3: Cross multiply
    27,255.49x = 40,876.40 × 9,721.22
  4. Step 4: Simplify right side
    27,255.49x = 397,368,242.45
  5. Step 5: Solve for x
    x = 397,368,242.45/27,255.49
  6. Step 6: Final answer
    x = 14,579.38

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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.