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Finding the Fourth Proportional to 13,414.30, 20,104.65 and 6,843.10

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Solution

The fourth proportional to 13,414.30, 20,104.65 and 6,843.10 is: 10,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.30 : 20,104.65 = 6,843.10 : x
  2. Step 2: Convert to fraction form
    13,414.30/20,104.65 = 6,843.10/x
  3. Step 3: Cross multiply
    13,414.30x = 20,104.65 × 6,843.10
  4. Step 4: Simplify right side
    13,414.30x = 137,578,130.42
  5. Step 5: Solve for x
    x = 137,578,130.42/13,414.30
  6. Step 6: Final answer
    x = 10,256.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.