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Finding the Fourth Proportional to 20,960.15, 31,440.47 and 8,312.99

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Solution

The fourth proportional to 20,960.15, 31,440.47 and 8,312.99 is: 12,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.15 : 31,440.47 = 8,312.99 : x
  2. Step 2: Convert to fraction form
    20,960.15/31,440.47 = 8,312.99/x
  3. Step 3: Cross multiply
    20,960.15x = 31,440.47 × 8,312.99
  4. Step 4: Simplify right side
    20,960.15x = 261,364,113.94
  5. Step 5: Solve for x
    x = 261,364,113.94/20,960.15
  6. Step 6: Final answer
    x = 12,469.58

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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.