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Finding the Fourth Proportional to 13,447.85, 20,157.87 and 5,125.63

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Solution

The fourth proportional to 13,447.85, 20,157.87 and 5,125.63 is: 7,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.85 : 20,157.87 = 5,125.63 : x
  2. Step 2: Convert to fraction form
    13,447.85/20,157.87 = 5,125.63/x
  3. Step 3: Cross multiply
    13,447.85x = 20,157.87 × 5,125.63
  4. Step 4: Simplify right side
    13,447.85x = 103,321,754.28
  5. Step 5: Solve for x
    x = 103,321,754.28/13,447.85
  6. Step 6: Final answer
    x = 7,683.15

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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.