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Finding the Fourth Proportional to 13,376.80, 20,065.20 and 10,266.40

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Solution

The fourth proportional to 13,376.80, 20,065.20 and 10,266.40 is: 15,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.80 : 20,065.20 = 10,266.40 : x
  2. Step 2: Convert to fraction form
    13,376.80/20,065.20 = 10,266.40/x
  3. Step 3: Cross multiply
    13,376.80x = 20,065.20 × 10,266.40
  4. Step 4: Simplify right side
    13,376.80x = 205,997,369.28
  5. Step 5: Solve for x
    x = 205,997,369.28/13,376.80
  6. Step 6: Final answer
    x = 15,399.60

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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.