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Finding the Fourth Proportional to 12,286.76, 18,430.05 and 5,709.29

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Solution

The fourth proportional to 12,286.76, 18,430.05 and 5,709.29 is: 8,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.76 : 18,430.05 = 5,709.29 : x
  2. Step 2: Convert to fraction form
    12,286.76/18,430.05 = 5,709.29/x
  3. Step 3: Cross multiply
    12,286.76x = 18,430.05 × 5,709.29
  4. Step 4: Simplify right side
    12,286.76x = 105,222,500.16
  5. Step 5: Solve for x
    x = 105,222,500.16/12,286.76
  6. Step 6: Final answer
    x = 8,563.89

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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.