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Finding the Fourth Proportional to 20,206.28, 27,880.02 and 12,246.86

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Solution

The fourth proportional to 20,206.28, 27,880.02 and 12,246.86 is: 16,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.28 : 27,880.02 = 12,246.86 : x
  2. Step 2: Convert to fraction form
    20,206.28/27,880.02 = 12,246.86/x
  3. Step 3: Cross multiply
    20,206.28x = 27,880.02 × 12,246.86
  4. Step 4: Simplify right side
    20,206.28x = 341,442,701.74
  5. Step 5: Solve for x
    x = 341,442,701.74/20,206.28
  6. Step 6: Final answer
    x = 16,897.85

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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.