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Finding the Fourth Proportional to 11,817.36, 17,727.84 and 4,024.36

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Solution

The fourth proportional to 11,817.36, 17,727.84 and 4,024.36 is: 6,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.36 : 17,727.84 = 4,024.36 : x
  2. Step 2: Convert to fraction form
    11,817.36/17,727.84 = 4,024.36/x
  3. Step 3: Cross multiply
    11,817.36x = 17,727.84 × 4,024.36
  4. Step 4: Simplify right side
    11,817.36x = 71,343,210.18
  5. Step 5: Solve for x
    x = 71,343,210.18/11,817.36
  6. Step 6: Final answer
    x = 6,037.15

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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.