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Finding the Fourth Proportional to 13,785.94, 20,652.80 and 8,146.74

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Solution

The fourth proportional to 13,785.94, 20,652.80 and 8,146.74 is: 12,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.94 : 20,652.80 = 8,146.74 : x
  2. Step 2: Convert to fraction form
    13,785.94/20,652.80 = 8,146.74/x
  3. Step 3: Cross multiply
    13,785.94x = 20,652.80 × 8,146.74
  4. Step 4: Simplify right side
    13,785.94x = 168,252,991.87
  5. Step 5: Solve for x
    x = 168,252,991.87/13,785.94
  6. Step 6: Final answer
    x = 12,204.68

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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.