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Finding the Fourth Proportional to 12,132.45, 16,740.68 and 6,827.49

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Solution

The fourth proportional to 12,132.45, 16,740.68 and 6,827.49 is: 9,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.45 : 16,740.68 = 6,827.49 : x
  2. Step 2: Convert to fraction form
    12,132.45/16,740.68 = 6,827.49/x
  3. Step 3: Cross multiply
    12,132.45x = 16,740.68 × 6,827.49
  4. Step 4: Simplify right side
    12,132.45x = 114,296,791.16
  5. Step 5: Solve for x
    x = 114,296,791.16/12,132.45
  6. Step 6: Final answer
    x = 9,420.75

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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.