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Finding the Fourth Proportional to 20,206.50, 27,880.74 and 11,708.13

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Solution

The fourth proportional to 20,206.50, 27,880.74 and 11,708.13 is: 16,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.50 : 27,880.74 = 11,708.13 : x
  2. Step 2: Convert to fraction form
    20,206.50/27,880.74 = 11,708.13/x
  3. Step 3: Cross multiply
    20,206.50x = 27,880.74 × 11,708.13
  4. Step 4: Simplify right side
    20,206.50x = 326,431,328.42
  5. Step 5: Solve for x
    x = 326,431,328.42/20,206.50
  6. Step 6: Final answer
    x = 16,154.77

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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.