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Finding the Fourth Proportional to 12,425.46, 17,147.14 and 6,836.46

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Solution

The fourth proportional to 12,425.46, 17,147.14 and 6,836.46 is: 9,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.46 : 17,147.14 = 6,836.46 : x
  2. Step 2: Convert to fraction form
    12,425.46/17,147.14 = 6,836.46/x
  3. Step 3: Cross multiply
    12,425.46x = 17,147.14 × 6,836.46
  4. Step 4: Simplify right side
    12,425.46x = 117,225,736.72
  5. Step 5: Solve for x
    x = 117,225,736.72/12,425.46
  6. Step 6: Final answer
    x = 9,434.32

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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.