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Finding the Fourth Proportional to 12,163.49, 16,770.70 and 10,002.48

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Solution

The fourth proportional to 12,163.49, 16,770.70 and 10,002.48 is: 13,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.49 : 16,770.70 = 10,002.48 : x
  2. Step 2: Convert to fraction form
    12,163.49/16,770.70 = 10,002.48/x
  3. Step 3: Cross multiply
    12,163.49x = 16,770.70 × 10,002.48
  4. Step 4: Simplify right side
    12,163.49x = 167,748,607.15
  5. Step 5: Solve for x
    x = 167,748,607.15/12,163.49
  6. Step 6: Final answer
    x = 13,791.16

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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.