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Finding the Fourth Proportional to 12,283.14, 16,930.50 and 8,693.46

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Solution

The fourth proportional to 12,283.14, 16,930.50 and 8,693.46 is: 11,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.14 : 16,930.50 = 8,693.46 : x
  2. Step 2: Convert to fraction form
    12,283.14/16,930.50 = 8,693.46/x
  3. Step 3: Cross multiply
    12,283.14x = 16,930.50 × 8,693.46
  4. Step 4: Simplify right side
    12,283.14x = 147,184,624.53
  5. Step 5: Solve for x
    x = 147,184,624.53/12,283.14
  6. Step 6: Final answer
    x = 11,982.65

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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.