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Finding the Fourth Proportional to 13,682.94, 20,526.80 and 5,677.71

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Solution

The fourth proportional to 13,682.94, 20,526.80 and 5,677.71 is: 8,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.94 : 20,526.80 = 5,677.71 : x
  2. Step 2: Convert to fraction form
    13,682.94/20,526.80 = 5,677.71/x
  3. Step 3: Cross multiply
    13,682.94x = 20,526.80 × 5,677.71
  4. Step 4: Simplify right side
    13,682.94x = 116,545,189.24
  5. Step 5: Solve for x
    x = 116,545,189.24/13,682.94
  6. Step 6: Final answer
    x = 8,517.55

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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.