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Finding the Fourth Proportional to 19,609.31, 29,415.11 and 7,129.29

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Solution

The fourth proportional to 19,609.31, 29,415.11 and 7,129.29 is: 10,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.31 : 29,415.11 = 7,129.29 : x
  2. Step 2: Convert to fraction form
    19,609.31/29,415.11 = 7,129.29/x
  3. Step 3: Cross multiply
    19,609.31x = 29,415.11 × 7,129.29
  4. Step 4: Simplify right side
    19,609.31x = 209,708,703.62
  5. Step 5: Solve for x
    x = 209,708,703.62/19,609.31
  6. Step 6: Final answer
    x = 10,694.34

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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.