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Finding the Fourth Proportional to 13,157.73, 18,149.27 and 7,849.53

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Solution

The fourth proportional to 13,157.73, 18,149.27 and 7,849.53 is: 10,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.73 : 18,149.27 = 7,849.53 : x
  2. Step 2: Convert to fraction form
    13,157.73/18,149.27 = 7,849.53/x
  3. Step 3: Cross multiply
    13,157.73x = 18,149.27 × 7,849.53
  4. Step 4: Simplify right side
    13,157.73x = 142,463,200.10
  5. Step 5: Solve for x
    x = 142,463,200.10/13,157.73
  6. Step 6: Final answer
    x = 10,827.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.