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Finding the Fourth Proportional to 23,234.40, 34,845.12 and 9,380.16

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Solution

The fourth proportional to 23,234.40, 34,845.12 and 9,380.16 is: 14,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.40 : 34,845.12 = 9,380.16 : x
  2. Step 2: Convert to fraction form
    23,234.40/34,845.12 = 9,380.16/x
  3. Step 3: Cross multiply
    23,234.40x = 34,845.12 × 9,380.16
  4. Step 4: Simplify right side
    23,234.40x = 326,852,800.82
  5. Step 5: Solve for x
    x = 326,852,800.82/23,234.40
  6. Step 6: Final answer
    x = 14,067.62

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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.