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Finding the Fourth Proportional to 27,676.08, 38,196 and 17,065.44

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Solution

The fourth proportional to 27,676.08, 38,196 and 17,065.44 is: 23,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.08 : 38,196 = 17,065.44 : x
  2. Step 2: Convert to fraction form
    27,676.08/38,196 = 17,065.44/x
  3. Step 3: Cross multiply
    27,676.08x = 38,196 × 17,065.44
  4. Step 4: Simplify right side
    27,676.08x = 651,831,546.24
  5. Step 5: Solve for x
    x = 651,831,546.24/27,676.08
  6. Step 6: Final answer
    x = 23,552.16

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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.