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Finding the Fourth Proportional to 13,484.14, 20,213.14 and 5,157.75

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Solution

The fourth proportional to 13,484.14, 20,213.14 and 5,157.75 is: 7,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.14 : 20,213.14 = 5,157.75 : x
  2. Step 2: Convert to fraction form
    13,484.14/20,213.14 = 5,157.75/x
  3. Step 3: Cross multiply
    13,484.14x = 20,213.14 × 5,157.75
  4. Step 4: Simplify right side
    13,484.14x = 104,254,322.84
  5. Step 5: Solve for x
    x = 104,254,322.84/13,484.14
  6. Step 6: Final answer
    x = 7,731.63

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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.