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Finding the Fourth Proportional to 14,861.75, 20,509.85 and 8,892.27

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Solution

The fourth proportional to 14,861.75, 20,509.85 and 8,892.27 is: 12,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.75 : 20,509.85 = 8,892.27 : x
  2. Step 2: Convert to fraction form
    14,861.75/20,509.85 = 8,892.27/x
  3. Step 3: Cross multiply
    14,861.75x = 20,509.85 × 8,892.27
  4. Step 4: Simplify right side
    14,861.75x = 182,379,146.09
  5. Step 5: Solve for x
    x = 182,379,146.09/14,861.75
  6. Step 6: Final answer
    x = 12,271.72

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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.