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Finding the Fourth Proportional to 12,132.82, 16,743.26 and 6,827.64

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Solution

The fourth proportional to 12,132.82, 16,743.26 and 6,827.64 is: 9,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.82 : 16,743.26 = 6,827.64 : x
  2. Step 2: Convert to fraction form
    12,132.82/16,743.26 = 6,827.64/x
  3. Step 3: Cross multiply
    12,132.82x = 16,743.26 × 6,827.64
  4. Step 4: Simplify right side
    12,132.82x = 114,316,943.48
  5. Step 5: Solve for x
    x = 114,316,943.48/12,132.82
  6. Step 6: Final answer
    x = 9,422.12

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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.