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Finding the Fourth Proportional to 14,834, 20,470.94 and 9,245

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Solution

The fourth proportional to 14,834, 20,470.94 and 9,245 is: 12,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834 : 20,470.94 = 9,245 : x
  2. Step 2: Convert to fraction form
    14,834/20,470.94 = 9,245/x
  3. Step 3: Cross multiply
    14,834x = 20,470.94 × 9,245
  4. Step 4: Simplify right side
    14,834x = 189,253,840.30
  5. Step 5: Solve for x
    x = 189,253,840.30/14,834
  6. Step 6: Final answer
    x = 12,758.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.