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Finding the Fourth Proportional to 13,885.43, 19,161.97 and 7,597.80

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Solution

The fourth proportional to 13,885.43, 19,161.97 and 7,597.80 is: 10,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.43 : 19,161.97 = 7,597.80 : x
  2. Step 2: Convert to fraction form
    13,885.43/19,161.97 = 7,597.80/x
  3. Step 3: Cross multiply
    13,885.43x = 19,161.97 × 7,597.80
  4. Step 4: Simplify right side
    13,885.43x = 145,588,796.67
  5. Step 5: Solve for x
    x = 145,588,796.67/13,885.43
  6. Step 6: Final answer
    x = 10,485.01

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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.