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Finding the Fourth Proportional to 11,813.84, 17,709.87 and 4,017.23

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Solution

The fourth proportional to 11,813.84, 17,709.87 and 4,017.23 is: 6,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.84 : 17,709.87 = 4,017.23 : x
  2. Step 2: Convert to fraction form
    11,813.84/17,709.87 = 4,017.23/x
  3. Step 3: Cross multiply
    11,813.84x = 17,709.87 × 4,017.23
  4. Step 4: Simplify right side
    11,813.84x = 71,144,621.06
  5. Step 5: Solve for x
    x = 71,144,621.06/11,813.84
  6. Step 6: Final answer
    x = 6,022.14

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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.