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Finding the Fourth Proportional to 13,020.22, 19,537.62 and 5,234.50

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Solution

The fourth proportional to 13,020.22, 19,537.62 and 5,234.50 is: 7,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.22 : 19,537.62 = 5,234.50 : x
  2. Step 2: Convert to fraction form
    13,020.22/19,537.62 = 5,234.50/x
  3. Step 3: Cross multiply
    13,020.22x = 19,537.62 × 5,234.50
  4. Step 4: Simplify right side
    13,020.22x = 102,269,671.89
  5. Step 5: Solve for x
    x = 102,269,671.89/13,020.22
  6. Step 6: Final answer
    x = 7,854.68

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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.