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Finding the Fourth Proportional to 13,013.56, 19,544.49 and 6,777.88

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Solution

The fourth proportional to 13,013.56, 19,544.49 and 6,777.88 is: 10,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.56 : 19,544.49 = 6,777.88 : x
  2. Step 2: Convert to fraction form
    13,013.56/19,544.49 = 6,777.88/x
  3. Step 3: Cross multiply
    13,013.56x = 19,544.49 × 6,777.88
  4. Step 4: Simplify right side
    13,013.56x = 132,470,159.02
  5. Step 5: Solve for x
    x = 132,470,159.02/13,013.56
  6. Step 6: Final answer
    x = 10,179.39

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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.