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Finding the Fourth Proportional to 13,016.57, 19,548.99 and 6,780.89

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Solution

The fourth proportional to 13,016.57, 19,548.99 and 6,780.89 is: 10,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.57 : 19,548.99 = 6,780.89 : x
  2. Step 2: Convert to fraction form
    13,016.57/19,548.99 = 6,780.89/x
  3. Step 3: Cross multiply
    13,016.57x = 19,548.99 × 6,780.89
  4. Step 4: Simplify right side
    13,016.57x = 132,559,453.06
  5. Step 5: Solve for x
    x = 132,559,453.06/13,016.57
  6. Step 6: Final answer
    x = 10,183.90

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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.