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Finding the Fourth Proportional to 23,147, 34,713.30 and 8,353.98

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Solution

The fourth proportional to 23,147, 34,713.30 and 8,353.98 is: 12,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147 : 34,713.30 = 8,353.98 : x
  2. Step 2: Convert to fraction form
    23,147/34,713.30 = 8,353.98/x
  3. Step 3: Cross multiply
    23,147x = 34,713.30 × 8,353.98
  4. Step 4: Simplify right side
    23,147x = 289,994,213.93
  5. Step 5: Solve for x
    x = 289,994,213.93/23,147
  6. Step 6: Final answer
    x = 12,528.37

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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.