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Finding the Fourth Proportional to 20,902.01, 31,352.68 and 8,421.74

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Solution

The fourth proportional to 20,902.01, 31,352.68 and 8,421.74 is: 12,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.01 : 31,352.68 = 8,421.74 : x
  2. Step 2: Convert to fraction form
    20,902.01/31,352.68 = 8,421.74/x
  3. Step 3: Cross multiply
    20,902.01x = 31,352.68 × 8,421.74
  4. Step 4: Simplify right side
    20,902.01x = 264,043,941.45
  5. Step 5: Solve for x
    x = 264,043,941.45/20,902.01
  6. Step 6: Final answer
    x = 12,632.47

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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.