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Finding the Fourth Proportional to 23,542.34, 35,318.09 and 8,346.33

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Solution

The fourth proportional to 23,542.34, 35,318.09 and 8,346.33 is: 12,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.34 : 35,318.09 = 8,346.33 : x
  2. Step 2: Convert to fraction form
    23,542.34/35,318.09 = 8,346.33/x
  3. Step 3: Cross multiply
    23,542.34x = 35,318.09 × 8,346.33
  4. Step 4: Simplify right side
    23,542.34x = 294,776,454.98
  5. Step 5: Solve for x
    x = 294,776,454.98/23,542.34
  6. Step 6: Final answer
    x = 12,521.12

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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.