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Finding the Fourth Proportional to 19,815.49, 29,724.86 and 8,128.81

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Solution

The fourth proportional to 19,815.49, 29,724.86 and 8,128.81 is: 12,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,815.49 : 29,724.86 = 8,128.81 : x
  2. Step 2: Convert to fraction form
    19,815.49/29,724.86 = 8,128.81/x
  3. Step 3: Cross multiply
    19,815.49x = 29,724.86 × 8,128.81
  4. Step 4: Simplify right side
    19,815.49x = 241,627,739.22
  5. Step 5: Solve for x
    x = 241,627,739.22/19,815.49
  6. Step 6: Final answer
    x = 12,193.88

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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.