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Finding the Fourth Proportional to 13,151.82, 19,732.33 and 8,215.68

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Solution

The fourth proportional to 13,151.82, 19,732.33 and 8,215.68 is: 12,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.82 : 19,732.33 = 8,215.68 : x
  2. Step 2: Convert to fraction form
    13,151.82/19,732.33 = 8,215.68/x
  3. Step 3: Cross multiply
    13,151.82x = 19,732.33 × 8,215.68
  4. Step 4: Simplify right side
    13,151.82x = 162,114,508.93
  5. Step 5: Solve for x
    x = 162,114,508.93/13,151.82
  6. Step 6: Final answer
    x = 12,326.39

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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.