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Finding the Fourth Proportional to 14,687.96, 20,263.50 and 8,399

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Solution

The fourth proportional to 14,687.96, 20,263.50 and 8,399 is: 11,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.96 : 20,263.50 = 8,399 : x
  2. Step 2: Convert to fraction form
    14,687.96/20,263.50 = 8,399/x
  3. Step 3: Cross multiply
    14,687.96x = 20,263.50 × 8,399
  4. Step 4: Simplify right side
    14,687.96x = 170,193,136.50
  5. Step 5: Solve for x
    x = 170,193,136.50/14,687.96
  6. Step 6: Final answer
    x = 11,587.25

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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.