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Finding the Fourth Proportional to 13,684.01, 20,526.05 and 3,823.22

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Solution

The fourth proportional to 13,684.01, 20,526.05 and 3,823.22 is: 5,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.01 : 20,526.05 = 3,823.22 : x
  2. Step 2: Convert to fraction form
    13,684.01/20,526.05 = 3,823.22/x
  3. Step 3: Cross multiply
    13,684.01x = 20,526.05 × 3,823.22
  4. Step 4: Simplify right side
    13,684.01x = 78,475,665.75
  5. Step 5: Solve for x
    x = 78,475,665.75/13,684.01
  6. Step 6: Final answer
    x = 5,734.85

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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.