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Finding the Fourth Proportional to 13,042.01, 17,996.64 and 8,006.44

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Solution

The fourth proportional to 13,042.01, 17,996.64 and 8,006.44 is: 11,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.01 : 17,996.64 = 8,006.44 : x
  2. Step 2: Convert to fraction form
    13,042.01/17,996.64 = 8,006.44/x
  3. Step 3: Cross multiply
    13,042.01x = 17,996.64 × 8,006.44
  4. Step 4: Simplify right side
    13,042.01x = 144,089,018.36
  5. Step 5: Solve for x
    x = 144,089,018.36/13,042.01
  6. Step 6: Final answer
    x = 11,048.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.