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Finding the Fourth Proportional to 12,428.22, 17,149.59 and 6,838.14

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Solution

The fourth proportional to 12,428.22, 17,149.59 and 6,838.14 is: 9,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.22 : 17,149.59 = 6,838.14 : x
  2. Step 2: Convert to fraction form
    12,428.22/17,149.59 = 6,838.14/x
  3. Step 3: Cross multiply
    12,428.22x = 17,149.59 × 6,838.14
  4. Step 4: Simplify right side
    12,428.22x = 117,271,297.36
  5. Step 5: Solve for x
    x = 117,271,297.36/12,428.22
  6. Step 6: Final answer
    x = 9,435.89

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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.