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Finding the Fourth Proportional to 23,113.72, 34,674.22 and 9,969.80

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Solution

The fourth proportional to 23,113.72, 34,674.22 and 9,969.80 is: 14,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.72 : 34,674.22 = 9,969.80 : x
  2. Step 2: Convert to fraction form
    23,113.72/34,674.22 = 9,969.80/x
  3. Step 3: Cross multiply
    23,113.72x = 34,674.22 × 9,969.80
  4. Step 4: Simplify right side
    23,113.72x = 345,695,038.56
  5. Step 5: Solve for x
    x = 345,695,038.56/23,113.72
  6. Step 6: Final answer
    x = 14,956.27

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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.