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Finding the Fourth Proportional to 20,107.89, 27,732.51 and 16,742.34

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Solution

The fourth proportional to 20,107.89, 27,732.51 and 16,742.34 is: 23,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.89 : 27,732.51 = 16,742.34 : x
  2. Step 2: Convert to fraction form
    20,107.89/27,732.51 = 16,742.34/x
  3. Step 3: Cross multiply
    20,107.89x = 27,732.51 × 16,742.34
  4. Step 4: Simplify right side
    20,107.89x = 464,307,111.47
  5. Step 5: Solve for x
    x = 464,307,111.47/20,107.89
  6. Step 6: Final answer
    x = 23,090.79

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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.