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Finding the Fourth Proportional to 20,538.54, 30,810.90 and 8,692.29

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Solution

The fourth proportional to 20,538.54, 30,810.90 and 8,692.29 is: 13,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.54 : 30,810.90 = 8,692.29 : x
  2. Step 2: Convert to fraction form
    20,538.54/30,810.90 = 8,692.29/x
  3. Step 3: Cross multiply
    20,538.54x = 30,810.90 × 8,692.29
  4. Step 4: Simplify right side
    20,538.54x = 267,817,277.96
  5. Step 5: Solve for x
    x = 267,817,277.96/20,538.54
  6. Step 6: Final answer
    x = 13,039.74

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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.