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Finding the Fourth Proportional to 19,774.28, 29,642.33 and 6,619.34

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Solution

The fourth proportional to 19,774.28, 29,642.33 and 6,619.34 is: 9,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.28 : 29,642.33 = 6,619.34 : x
  2. Step 2: Convert to fraction form
    19,774.28/29,642.33 = 6,619.34/x
  3. Step 3: Cross multiply
    19,774.28x = 29,642.33 × 6,619.34
  4. Step 4: Simplify right side
    19,774.28x = 196,212,529.00
  5. Step 5: Solve for x
    x = 196,212,529.00/19,774.28
  6. Step 6: Final answer
    x = 9,922.62

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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.