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Finding the Fourth Proportional to 12,381.96, 17,081.10 and 8,193.72

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Solution

The fourth proportional to 12,381.96, 17,081.10 and 8,193.72 is: 11,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.96 : 17,081.10 = 8,193.72 : x
  2. Step 2: Convert to fraction form
    12,381.96/17,081.10 = 8,193.72/x
  3. Step 3: Cross multiply
    12,381.96x = 17,081.10 × 8,193.72
  4. Step 4: Simplify right side
    12,381.96x = 139,957,750.69
  5. Step 5: Solve for x
    x = 139,957,750.69/12,381.96
  6. Step 6: Final answer
    x = 11,303.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.