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Finding the Fourth Proportional to 19,823.40, 29,744.79 and 8,728.68

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Solution

The fourth proportional to 19,823.40, 29,744.79 and 8,728.68 is: 13,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.40 : 29,744.79 = 8,728.68 : x
  2. Step 2: Convert to fraction form
    19,823.40/29,744.79 = 8,728.68/x
  3. Step 3: Cross multiply
    19,823.40x = 29,744.79 × 8,728.68
  4. Step 4: Simplify right side
    19,823.40x = 259,632,753.58
  5. Step 5: Solve for x
    x = 259,632,753.58/19,823.40
  6. Step 6: Final answer
    x = 13,097.29

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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.