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Finding the Fourth Proportional to 13,191.48, 18,197.64 and 7,884.90

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Solution

The fourth proportional to 13,191.48, 18,197.64 and 7,884.90 is: 10,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.48 : 18,197.64 = 7,884.90 : x
  2. Step 2: Convert to fraction form
    13,191.48/18,197.64 = 7,884.90/x
  3. Step 3: Cross multiply
    13,191.48x = 18,197.64 × 7,884.90
  4. Step 4: Simplify right side
    13,191.48x = 143,486,571.64
  5. Step 5: Solve for x
    x = 143,486,571.64/13,191.48
  6. Step 6: Final answer
    x = 10,877.22

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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.