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Finding the Fourth Proportional to 23,638.38, 35,446.68 and 6,992.46

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Solution

The fourth proportional to 23,638.38, 35,446.68 and 6,992.46 is: 10,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.38 : 35,446.68 = 6,992.46 : x
  2. Step 2: Convert to fraction form
    23,638.38/35,446.68 = 6,992.46/x
  3. Step 3: Cross multiply
    23,638.38x = 35,446.68 × 6,992.46
  4. Step 4: Simplify right side
    23,638.38x = 247,859,492.03
  5. Step 5: Solve for x
    x = 247,859,492.03/23,638.38
  6. Step 6: Final answer
    x = 10,485.47

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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.