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Finding the Fourth Proportional to 13,813.40, 20,720.10 and 9,666.20

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Solution

The fourth proportional to 13,813.40, 20,720.10 and 9,666.20 is: 14,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.40 : 20,720.10 = 9,666.20 : x
  2. Step 2: Convert to fraction form
    13,813.40/20,720.10 = 9,666.20/x
  3. Step 3: Cross multiply
    13,813.40x = 20,720.10 × 9,666.20
  4. Step 4: Simplify right side
    13,813.40x = 200,284,630.62
  5. Step 5: Solve for x
    x = 200,284,630.62/13,813.40
  6. Step 6: Final answer
    x = 14,499.30

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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.