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Finding the Fourth Proportional to 13,157.24, 18,156.92 and 7,781.60

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Solution

The fourth proportional to 13,157.24, 18,156.92 and 7,781.60 is: 10,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.24 : 18,156.92 = 7,781.60 : x
  2. Step 2: Convert to fraction form
    13,157.24/18,156.92 = 7,781.60/x
  3. Step 3: Cross multiply
    13,157.24x = 18,156.92 × 7,781.60
  4. Step 4: Simplify right side
    13,157.24x = 141,289,758.98
  5. Step 5: Solve for x
    x = 141,289,758.98/13,157.24
  6. Step 6: Final answer
    x = 10,738.56

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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.