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Finding the Fourth Proportional to 12,264.05, 16,930.68 and 7,229.89

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Solution

The fourth proportional to 12,264.05, 16,930.68 and 7,229.89 is: 9,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.05 : 16,930.68 = 7,229.89 : x
  2. Step 2: Convert to fraction form
    12,264.05/16,930.68 = 7,229.89/x
  3. Step 3: Cross multiply
    12,264.05x = 16,930.68 × 7,229.89
  4. Step 4: Simplify right side
    12,264.05x = 122,406,954.03
  5. Step 5: Solve for x
    x = 122,406,954.03/12,264.05
  6. Step 6: Final answer
    x = 9,980.96

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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.