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Finding the Fourth Proportional to 12,120.31, 16,725.04 and 6,814.14

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Solution

The fourth proportional to 12,120.31, 16,725.04 and 6,814.14 is: 9,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.31 : 16,725.04 = 6,814.14 : x
  2. Step 2: Convert to fraction form
    12,120.31/16,725.04 = 6,814.14/x
  3. Step 3: Cross multiply
    12,120.31x = 16,725.04 × 6,814.14
  4. Step 4: Simplify right side
    12,120.31x = 113,966,764.07
  5. Step 5: Solve for x
    x = 113,966,764.07/12,120.31
  6. Step 6: Final answer
    x = 9,402.96

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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.