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Finding the Fourth Proportional to 19,616.13, 29,427.84 and 6,469.43

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Solution

The fourth proportional to 19,616.13, 29,427.84 and 6,469.43 is: 9,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.13 : 29,427.84 = 6,469.43 : x
  2. Step 2: Convert to fraction form
    19,616.13/29,427.84 = 6,469.43/x
  3. Step 3: Cross multiply
    19,616.13x = 29,427.84 × 6,469.43
  4. Step 4: Simplify right side
    19,616.13x = 190,381,203.79
  5. Step 5: Solve for x
    x = 190,381,203.79/19,616.13
  6. Step 6: Final answer
    x = 9,705.34

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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.