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Finding the Fourth Proportional to 19,732.41, 29,591.33 and 8,039.25

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Solution

The fourth proportional to 19,732.41, 29,591.33 and 8,039.25 is: 12,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.41 : 29,591.33 = 8,039.25 : x
  2. Step 2: Convert to fraction form
    19,732.41/29,591.33 = 8,039.25/x
  3. Step 3: Cross multiply
    19,732.41x = 29,591.33 × 8,039.25
  4. Step 4: Simplify right side
    19,732.41x = 237,892,059.51
  5. Step 5: Solve for x
    x = 237,892,059.51/19,732.41
  6. Step 6: Final answer
    x = 12,055.90

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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.