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Finding the Fourth Proportional to 12,266.84, 16,930.45 and 7,230.77

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Solution

The fourth proportional to 12,266.84, 16,930.45 and 7,230.77 is: 9,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.84 : 16,930.45 = 7,230.77 : x
  2. Step 2: Convert to fraction form
    12,266.84/16,930.45 = 7,230.77/x
  3. Step 3: Cross multiply
    12,266.84x = 16,930.45 × 7,230.77
  4. Step 4: Simplify right side
    12,266.84x = 122,420,189.95
  5. Step 5: Solve for x
    x = 122,420,189.95/12,266.84
  6. Step 6: Final answer
    x = 9,979.77

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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.