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Finding the Fourth Proportional to 13,661.30, 20,491.86 and 3,800.64

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Solution

The fourth proportional to 13,661.30, 20,491.86 and 3,800.64 is: 5,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.30 : 20,491.86 = 3,800.64 : x
  2. Step 2: Convert to fraction form
    13,661.30/20,491.86 = 3,800.64/x
  3. Step 3: Cross multiply
    13,661.30x = 20,491.86 × 3,800.64
  4. Step 4: Simplify right side
    13,661.30x = 77,882,182.79
  5. Step 5: Solve for x
    x = 77,882,182.79/13,661.30
  6. Step 6: Final answer
    x = 5,700.93

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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.