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Finding the Fourth Proportional to 12,892.96, 17,784.12 and 11,376.64

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Solution

The fourth proportional to 12,892.96, 17,784.12 and 11,376.64 is: 15,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.96 : 17,784.12 = 11,376.64 : x
  2. Step 2: Convert to fraction form
    12,892.96/17,784.12 = 11,376.64/x
  3. Step 3: Cross multiply
    12,892.96x = 17,784.12 × 11,376.64
  4. Step 4: Simplify right side
    12,892.96x = 202,323,530.96
  5. Step 5: Solve for x
    x = 202,323,530.96/12,892.96
  6. Step 6: Final answer
    x = 15,692.56

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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.