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Finding the Fourth Proportional to 19,892.36, 29,817.12 and 8,042.60

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Solution

The fourth proportional to 19,892.36, 29,817.12 and 8,042.60 is: 12,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.36 : 29,817.12 = 8,042.60 : x
  2. Step 2: Convert to fraction form
    19,892.36/29,817.12 = 8,042.60/x
  3. Step 3: Cross multiply
    19,892.36x = 29,817.12 × 8,042.60
  4. Step 4: Simplify right side
    19,892.36x = 239,807,169.31
  5. Step 5: Solve for x
    x = 239,807,169.31/19,892.36
  6. Step 6: Final answer
    x = 12,055.24

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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.