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Finding the Fourth Proportional to 13,770.23, 20,627.40 and 6,364.40

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Solution

The fourth proportional to 13,770.23, 20,627.40 and 6,364.40 is: 9,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.23 : 20,627.40 = 6,364.40 : x
  2. Step 2: Convert to fraction form
    13,770.23/20,627.40 = 6,364.40/x
  3. Step 3: Cross multiply
    13,770.23x = 20,627.40 × 6,364.40
  4. Step 4: Simplify right side
    13,770.23x = 131,281,024.56
  5. Step 5: Solve for x
    x = 131,281,024.56/13,770.23
  6. Step 6: Final answer
    x = 9,533.68

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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.