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Finding the Fourth Proportional to 20,492.25, 30,745.67 and 10,111.29

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Solution

The fourth proportional to 20,492.25, 30,745.67 and 10,111.29 is: 15,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.25 : 30,745.67 = 10,111.29 : x
  2. Step 2: Convert to fraction form
    20,492.25/30,745.67 = 10,111.29/x
  3. Step 3: Cross multiply
    20,492.25x = 30,745.67 × 10,111.29
  4. Step 4: Simplify right side
    20,492.25x = 310,878,335.06
  5. Step 5: Solve for x
    x = 310,878,335.06/20,492.25
  6. Step 6: Final answer
    x = 15,170.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.