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Finding the Fourth Proportional to 13,588.82, 18,761.78 and 8,492.12

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Solution

The fourth proportional to 13,588.82, 18,761.78 and 8,492.12 is: 11,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.82 : 18,761.78 = 8,492.12 : x
  2. Step 2: Convert to fraction form
    13,588.82/18,761.78 = 8,492.12/x
  3. Step 3: Cross multiply
    13,588.82x = 18,761.78 × 8,492.12
  4. Step 4: Simplify right side
    13,588.82x = 159,327,253.11
  5. Step 5: Solve for x
    x = 159,327,253.11/13,588.82
  6. Step 6: Final answer
    x = 11,724.88

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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.