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Finding the Fourth Proportional to 12,203.64, 16,841.07 and 6,614.64

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Solution

The fourth proportional to 12,203.64, 16,841.07 and 6,614.64 is: 9,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.64 : 16,841.07 = 6,614.64 : x
  2. Step 2: Convert to fraction form
    12,203.64/16,841.07 = 6,614.64/x
  3. Step 3: Cross multiply
    12,203.64x = 16,841.07 × 6,614.64
  4. Step 4: Simplify right side
    12,203.64x = 111,397,615.26
  5. Step 5: Solve for x
    x = 111,397,615.26/12,203.64
  6. Step 6: Final answer
    x = 9,128.23

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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.