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Finding the Fourth Proportional to 13,492.31, 20,135.43 and 12,016.09

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Solution

The fourth proportional to 13,492.31, 20,135.43 and 12,016.09 is: 17,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.31 : 20,135.43 = 12,016.09 : x
  2. Step 2: Convert to fraction form
    13,492.31/20,135.43 = 12,016.09/x
  3. Step 3: Cross multiply
    13,492.31x = 20,135.43 × 12,016.09
  4. Step 4: Simplify right side
    13,492.31x = 241,948,978.31
  5. Step 5: Solve for x
    x = 241,948,978.31/13,492.31
  6. Step 6: Final answer
    x = 17,932.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.