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Finding the Fourth Proportional to 20,206.55, 27,883.16 and 11,709

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Solution

The fourth proportional to 20,206.55, 27,883.16 and 11,709 is: 16,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.55 : 27,883.16 = 11,709 : x
  2. Step 2: Convert to fraction form
    20,206.55/27,883.16 = 11,709/x
  3. Step 3: Cross multiply
    20,206.55x = 27,883.16 × 11,709
  4. Step 4: Simplify right side
    20,206.55x = 326,483,861.90
  5. Step 5: Solve for x
    x = 326,483,861.90/20,206.55
  6. Step 6: Final answer
    x = 16,157.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.