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Finding the Fourth Proportional to 13,967.20, 20,975.10 and 7,406.20

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Solution

The fourth proportional to 13,967.20, 20,975.10 and 7,406.20 is: 11,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.20 : 20,975.10 = 7,406.20 : x
  2. Step 2: Convert to fraction form
    13,967.20/20,975.10 = 7,406.20/x
  3. Step 3: Cross multiply
    13,967.20x = 20,975.10 × 7,406.20
  4. Step 4: Simplify right side
    13,967.20x = 155,345,785.62
  5. Step 5: Solve for x
    x = 155,345,785.62/13,967.20
  6. Step 6: Final answer
    x = 11,122.19

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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.