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Finding the Fourth Proportional to 23,471.43, 35,215.02 and 7,677.20

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Solution

The fourth proportional to 23,471.43, 35,215.02 and 7,677.20 is: 11,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.43 : 35,215.02 = 7,677.20 : x
  2. Step 2: Convert to fraction form
    23,471.43/35,215.02 = 7,677.20/x
  3. Step 3: Cross multiply
    23,471.43x = 35,215.02 × 7,677.20
  4. Step 4: Simplify right side
    23,471.43x = 270,352,575.47
  5. Step 5: Solve for x
    x = 270,352,575.47/23,471.43
  6. Step 6: Final answer
    x = 11,518.37

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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.