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Finding the Fourth Proportional to 19,744.26, 29,616.43 and 9,873.60

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Solution

The fourth proportional to 19,744.26, 29,616.43 and 9,873.60 is: 14,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.26 : 29,616.43 = 9,873.60 : x
  2. Step 2: Convert to fraction form
    19,744.26/29,616.43 = 9,873.60/x
  3. Step 3: Cross multiply
    19,744.26x = 29,616.43 × 9,873.60
  4. Step 4: Simplify right side
    19,744.26x = 292,420,783.25
  5. Step 5: Solve for x
    x = 292,420,783.25/19,744.26
  6. Step 6: Final answer
    x = 14,810.42

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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.