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Finding the Fourth Proportional to 12,381.96, 17,095.14 and 8,192.64

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Solution

The fourth proportional to 12,381.96, 17,095.14 and 8,192.64 is: 11,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.96 : 17,095.14 = 8,192.64 : x
  2. Step 2: Convert to fraction form
    12,381.96/17,095.14 = 8,192.64/x
  3. Step 3: Cross multiply
    12,381.96x = 17,095.14 × 8,192.64
  4. Step 4: Simplify right side
    12,381.96x = 140,054,327.77
  5. Step 5: Solve for x
    x = 140,054,327.77/12,381.96
  6. Step 6: Final answer
    x = 11,311.16

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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.