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Finding the Fourth Proportional to 13,884.98, 19,157.70 and 7,836.10

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Solution

The fourth proportional to 13,884.98, 19,157.70 and 7,836.10 is: 10,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.98 : 19,157.70 = 7,836.10 : x
  2. Step 2: Convert to fraction form
    13,884.98/19,157.70 = 7,836.10/x
  3. Step 3: Cross multiply
    13,884.98x = 19,157.70 × 7,836.10
  4. Step 4: Simplify right side
    13,884.98x = 150,121,652.97
  5. Step 5: Solve for x
    x = 150,121,652.97/13,884.98
  6. Step 6: Final answer
    x = 10,811.80

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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.