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Finding the Fourth Proportional to 13,614.42, 20,426.04 and 6,684.06

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Solution

The fourth proportional to 13,614.42, 20,426.04 and 6,684.06 is: 10,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.42 : 20,426.04 = 6,684.06 : x
  2. Step 2: Convert to fraction form
    13,614.42/20,426.04 = 6,684.06/x
  3. Step 3: Cross multiply
    13,614.42x = 20,426.04 × 6,684.06
  4. Step 4: Simplify right side
    13,614.42x = 136,528,876.92
  5. Step 5: Solve for x
    x = 136,528,876.92/13,614.42
  6. Step 6: Final answer
    x = 10,028.26

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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.