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Finding the Fourth Proportional to 12,166.81, 18,252.08 and 5,146.83

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Solution

The fourth proportional to 12,166.81, 18,252.08 and 5,146.83 is: 7,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.81 : 18,252.08 = 5,146.83 : x
  2. Step 2: Convert to fraction form
    12,166.81/18,252.08 = 5,146.83/x
  3. Step 3: Cross multiply
    12,166.81x = 18,252.08 × 5,146.83
  4. Step 4: Simplify right side
    12,166.81x = 93,940,327.17
  5. Step 5: Solve for x
    x = 93,940,327.17/12,166.81
  6. Step 6: Final answer
    x = 7,721.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.