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Finding the Fourth Proportional to 12,494.21, 17,242.07 and 6,829.07

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Solution

The fourth proportional to 12,494.21, 17,242.07 and 6,829.07 is: 9,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.21 : 17,242.07 = 6,829.07 : x
  2. Step 2: Convert to fraction form
    12,494.21/17,242.07 = 6,829.07/x
  3. Step 3: Cross multiply
    12,494.21x = 17,242.07 × 6,829.07
  4. Step 4: Simplify right side
    12,494.21x = 117,747,182.62
  5. Step 5: Solve for x
    x = 117,747,182.62/12,494.21
  6. Step 6: Final answer
    x = 9,424.14

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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.