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Finding the Fourth Proportional to 13,757.35, 20,646.42 and 9,538.21

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Solution

The fourth proportional to 13,757.35, 20,646.42 and 9,538.21 is: 14,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.35 : 20,646.42 = 9,538.21 : x
  2. Step 2: Convert to fraction form
    13,757.35/20,646.42 = 9,538.21/x
  3. Step 3: Cross multiply
    13,757.35x = 20,646.42 × 9,538.21
  4. Step 4: Simplify right side
    13,757.35x = 196,929,889.71
  5. Step 5: Solve for x
    x = 196,929,889.71/13,757.35
  6. Step 6: Final answer
    x = 14,314.52

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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.