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Finding the Fourth Proportional to 13,638.42, 20,432.43 and 7,057.62

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Solution

The fourth proportional to 13,638.42, 20,432.43 and 7,057.62 is: 10,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.42 : 20,432.43 = 7,057.62 : x
  2. Step 2: Convert to fraction form
    13,638.42/20,432.43 = 7,057.62/x
  3. Step 3: Cross multiply
    13,638.42x = 20,432.43 × 7,057.62
  4. Step 4: Simplify right side
    13,638.42x = 144,204,326.62
  5. Step 5: Solve for x
    x = 144,204,326.62/13,638.42
  6. Step 6: Final answer
    x = 10,573.39

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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.