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Finding the Fourth Proportional to 13,134.42, 19,698.66 and 3,774.42

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Solution

The fourth proportional to 13,134.42, 19,698.66 and 3,774.42 is: 5,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.42 : 19,698.66 = 3,774.42 : x
  2. Step 2: Convert to fraction form
    13,134.42/19,698.66 = 3,774.42/x
  3. Step 3: Cross multiply
    13,134.42x = 19,698.66 × 3,774.42
  4. Step 4: Simplify right side
    13,134.42x = 74,351,016.28
  5. Step 5: Solve for x
    x = 74,351,016.28/13,134.42
  6. Step 6: Final answer
    x = 5,660.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.