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Finding the Fourth Proportional to 13,620.96, 20,425.50 and 8,085.42

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Solution

The fourth proportional to 13,620.96, 20,425.50 and 8,085.42 is: 12,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.96 : 20,425.50 = 8,085.42 : x
  2. Step 2: Convert to fraction form
    13,620.96/20,425.50 = 8,085.42/x
  3. Step 3: Cross multiply
    13,620.96x = 20,425.50 × 8,085.42
  4. Step 4: Simplify right side
    13,620.96x = 165,148,746.21
  5. Step 5: Solve for x
    x = 165,148,746.21/13,620.96
  6. Step 6: Final answer
    x = 12,124.60

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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.