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Finding the Fourth Proportional to 11,817.30, 17,727.74 and 4,024.29

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Solution

The fourth proportional to 11,817.30, 17,727.74 and 4,024.29 is: 6,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.30 : 17,727.74 = 4,024.29 : x
  2. Step 2: Convert to fraction form
    11,817.30/17,727.74 = 4,024.29/x
  3. Step 3: Cross multiply
    11,817.30x = 17,727.74 × 4,024.29
  4. Step 4: Simplify right side
    11,817.30x = 71,341,566.80
  5. Step 5: Solve for x
    x = 71,341,566.80/11,817.30
  6. Step 6: Final answer
    x = 6,037.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.