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Finding the Fourth Proportional to 19,889.04, 29,837.03 and 8,042.34

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Solution

The fourth proportional to 19,889.04, 29,837.03 and 8,042.34 is: 12,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.04 : 29,837.03 = 8,042.34 : x
  2. Step 2: Convert to fraction form
    19,889.04/29,837.03 = 8,042.34/x
  3. Step 3: Cross multiply
    19,889.04x = 29,837.03 × 8,042.34
  4. Step 4: Simplify right side
    19,889.04x = 239,959,539.85
  5. Step 5: Solve for x
    x = 239,959,539.85/19,889.04
  6. Step 6: Final answer
    x = 12,064.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.