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Finding the Fourth Proportional to 13,114.62, 19,674.81 and 3,754.65

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Solution

The fourth proportional to 13,114.62, 19,674.81 and 3,754.65 is: 5,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.62 : 19,674.81 = 3,754.65 : x
  2. Step 2: Convert to fraction form
    13,114.62/19,674.81 = 3,754.65/x
  3. Step 3: Cross multiply
    13,114.62x = 19,674.81 × 3,754.65
  4. Step 4: Simplify right side
    13,114.62x = 73,872,025.37
  5. Step 5: Solve for x
    x = 73,872,025.37/13,114.62
  6. Step 6: Final answer
    x = 5,632.80

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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.