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Finding the Fourth Proportional to 13,758.65, 18,913.83 and 11,837.40

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Solution

The fourth proportional to 13,758.65, 18,913.83 and 11,837.40 is: 16,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.65 : 18,913.83 = 11,837.40 : x
  2. Step 2: Convert to fraction form
    13,758.65/18,913.83 = 11,837.40/x
  3. Step 3: Cross multiply
    13,758.65x = 18,913.83 × 11,837.40
  4. Step 4: Simplify right side
    13,758.65x = 223,890,571.24
  5. Step 5: Solve for x
    x = 223,890,571.24/13,758.65
  6. Step 6: Final answer
    x = 16,272.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.