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Finding the Fourth Proportional to 14,515.96, 20,033.68 and 8,144.28

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Solution

The fourth proportional to 14,515.96, 20,033.68 and 8,144.28 is: 11,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.96 : 20,033.68 = 8,144.28 : x
  2. Step 2: Convert to fraction form
    14,515.96/20,033.68 = 8,144.28/x
  3. Step 3: Cross multiply
    14,515.96x = 20,033.68 × 8,144.28
  4. Step 4: Simplify right side
    14,515.96x = 163,159,899.35
  5. Step 5: Solve for x
    x = 163,159,899.35/14,515.96
  6. Step 6: Final answer
    x = 11,240.04

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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.