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Finding the Fourth Proportional to 13,238.98, 19,829.31 and 8,835.82

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Solution

The fourth proportional to 13,238.98, 19,829.31 and 8,835.82 is: 13,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.98 : 19,829.31 = 8,835.82 : x
  2. Step 2: Convert to fraction form
    13,238.98/19,829.31 = 8,835.82/x
  3. Step 3: Cross multiply
    13,238.98x = 19,829.31 × 8,835.82
  4. Step 4: Simplify right side
    13,238.98x = 175,208,213.88
  5. Step 5: Solve for x
    x = 175,208,213.88/13,238.98
  6. Step 6: Final answer
    x = 13,234.27

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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.