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Finding the Fourth Proportional to 23,026.80, 34,536.48 and 8,233.20

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Solution

The fourth proportional to 23,026.80, 34,536.48 and 8,233.20 is: 12,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026.80 : 34,536.48 = 8,233.20 : x
  2. Step 2: Convert to fraction form
    23,026.80/34,536.48 = 8,233.20/x
  3. Step 3: Cross multiply
    23,026.80x = 34,536.48 × 8,233.20
  4. Step 4: Simplify right side
    23,026.80x = 284,345,747.14
  5. Step 5: Solve for x
    x = 284,345,747.14/23,026.80
  6. Step 6: Final answer
    x = 12,348.47

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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.