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Finding the Fourth Proportional to 20,797.71, 31,199.80 and 12,475.77

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Solution

The fourth proportional to 20,797.71, 31,199.80 and 12,475.77 is: 18,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.71 : 31,199.80 = 12,475.77 : x
  2. Step 2: Convert to fraction form
    20,797.71/31,199.80 = 12,475.77/x
  3. Step 3: Cross multiply
    20,797.71x = 31,199.80 × 12,475.77
  4. Step 4: Simplify right side
    20,797.71x = 389,241,528.85
  5. Step 5: Solve for x
    x = 389,241,528.85/20,797.71
  6. Step 6: Final answer
    x = 18,715.60

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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.