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Finding the Fourth Proportional to 13,692.12, 20,538.14 and 3,303.86

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Solution

The fourth proportional to 13,692.12, 20,538.14 and 3,303.86 is: 4,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.12 : 20,538.14 = 3,303.86 : x
  2. Step 2: Convert to fraction form
    13,692.12/20,538.14 = 3,303.86/x
  3. Step 3: Cross multiply
    13,692.12x = 20,538.14 × 3,303.86
  4. Step 4: Simplify right side
    13,692.12x = 67,855,139.22
  5. Step 5: Solve for x
    x = 67,855,139.22/13,692.12
  6. Step 6: Final answer
    x = 4,955.78

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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.