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Finding the Fourth Proportional to 12,171.18, 16,802.28 and 7,699.44

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Solution

The fourth proportional to 12,171.18, 16,802.28 and 7,699.44 is: 10,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.18 : 16,802.28 = 7,699.44 : x
  2. Step 2: Convert to fraction form
    12,171.18/16,802.28 = 7,699.44/x
  3. Step 3: Cross multiply
    12,171.18x = 16,802.28 × 7,699.44
  4. Step 4: Simplify right side
    12,171.18x = 129,368,146.72
  5. Step 5: Solve for x
    x = 129,368,146.72/12,171.18
  6. Step 6: Final answer
    x = 10,629.06

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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.