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Finding the Fourth Proportional to 19,874.90, 27,427.14 and 10,922.31

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Solution

The fourth proportional to 19,874.90, 27,427.14 and 10,922.31 is: 15,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.90 : 27,427.14 = 10,922.31 : x
  2. Step 2: Convert to fraction form
    19,874.90/27,427.14 = 10,922.31/x
  3. Step 3: Cross multiply
    19,874.90x = 27,427.14 × 10,922.31
  4. Step 4: Simplify right side
    19,874.90x = 299,567,725.49
  5. Step 5: Solve for x
    x = 299,567,725.49/19,874.90
  6. Step 6: Final answer
    x = 15,072.66

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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.