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Finding the Fourth Proportional to 19,822.90, 27,354.78 and 11,860.42

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Solution

The fourth proportional to 19,822.90, 27,354.78 and 11,860.42 is: 16,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.90 : 27,354.78 = 11,860.42 : x
  2. Step 2: Convert to fraction form
    19,822.90/27,354.78 = 11,860.42/x
  3. Step 3: Cross multiply
    19,822.90x = 27,354.78 × 11,860.42
  4. Step 4: Simplify right side
    19,822.90x = 324,439,179.81
  5. Step 5: Solve for x
    x = 324,439,179.81/19,822.90
  6. Step 6: Final answer
    x = 16,366.89

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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.