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Finding the Fourth Proportional to 20,175.76, 27,844.32 and 13,795.12

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Solution

The fourth proportional to 20,175.76, 27,844.32 and 13,795.12 is: 19,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.76 : 27,844.32 = 13,795.12 : x
  2. Step 2: Convert to fraction form
    20,175.76/27,844.32 = 13,795.12/x
  3. Step 3: Cross multiply
    20,175.76x = 27,844.32 × 13,795.12
  4. Step 4: Simplify right side
    20,175.76x = 384,115,735.72
  5. Step 5: Solve for x
    x = 384,115,735.72/20,175.76
  6. Step 6: Final answer
    x = 19,038.48

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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.