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Finding the Fourth Proportional to 14,861.79, 20,509.25 and 8,147.66

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Solution

The fourth proportional to 14,861.79, 20,509.25 and 8,147.66 is: 11,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.79 : 20,509.25 = 8,147.66 : x
  2. Step 2: Convert to fraction form
    14,861.79/20,509.25 = 8,147.66/x
  3. Step 3: Cross multiply
    14,861.79x = 20,509.25 × 8,147.66
  4. Step 4: Simplify right side
    14,861.79x = 167,102,252.57
  5. Step 5: Solve for x
    x = 167,102,252.57/14,861.79
  6. Step 6: Final answer
    x = 11,243.75

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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.