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Finding the Fourth Proportional to 12,495.13, 17,242.74 and 6,829.62

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Solution

The fourth proportional to 12,495.13, 17,242.74 and 6,829.62 is: 9,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.13 : 17,242.74 = 6,829.62 : x
  2. Step 2: Convert to fraction form
    12,495.13/17,242.74 = 6,829.62/x
  3. Step 3: Cross multiply
    12,495.13x = 17,242.74 × 6,829.62
  4. Step 4: Simplify right side
    12,495.13x = 117,761,297.30
  5. Step 5: Solve for x
    x = 117,761,297.30/12,495.13
  6. Step 6: Final answer
    x = 9,424.58

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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.