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Finding the Fourth Proportional to 13,682.34, 20,526.69 and 4,323.30

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Solution

The fourth proportional to 13,682.34, 20,526.69 and 4,323.30 is: 6,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.34 : 20,526.69 = 4,323.30 : x
  2. Step 2: Convert to fraction form
    13,682.34/20,526.69 = 4,323.30/x
  3. Step 3: Cross multiply
    13,682.34x = 20,526.69 × 4,323.30
  4. Step 4: Simplify right side
    13,682.34x = 88,743,038.88
  5. Step 5: Solve for x
    x = 88,743,038.88/13,682.34
  6. Step 6: Final answer
    x = 6,485.95

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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.