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Finding the Fourth Proportional to 19,616.67, 29,426.85 and 6,469.16

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Solution

The fourth proportional to 19,616.67, 29,426.85 and 6,469.16 is: 9,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.67 : 29,426.85 = 6,469.16 : x
  2. Step 2: Convert to fraction form
    19,616.67/29,426.85 = 6,469.16/x
  3. Step 3: Cross multiply
    19,616.67x = 29,426.85 × 6,469.16
  4. Step 4: Simplify right side
    19,616.67x = 190,366,853.81
  5. Step 5: Solve for x
    x = 190,366,853.81/19,616.67
  6. Step 6: Final answer
    x = 9,704.34

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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.