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Finding the Fourth Proportional to 19,766, 27,283.56 and 14,193.20

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Solution

The fourth proportional to 19,766, 27,283.56 and 14,193.20 is: 19,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766 : 27,283.56 = 14,193.20 : x
  2. Step 2: Convert to fraction form
    19,766/27,283.56 = 14,193.20/x
  3. Step 3: Cross multiply
    19,766x = 27,283.56 × 14,193.20
  4. Step 4: Simplify right side
    19,766x = 387,241,023.79
  5. Step 5: Solve for x
    x = 387,241,023.79/19,766
  6. Step 6: Final answer
    x = 19,591.27

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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.