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Finding the Fourth Proportional to 12,509.59, 18,769.64 and 5,485.98

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Solution

The fourth proportional to 12,509.59, 18,769.64 and 5,485.98 is: 8,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.59 : 18,769.64 = 5,485.98 : x
  2. Step 2: Convert to fraction form
    12,509.59/18,769.64 = 5,485.98/x
  3. Step 3: Cross multiply
    12,509.59x = 18,769.64 × 5,485.98
  4. Step 4: Simplify right side
    12,509.59x = 102,969,869.65
  5. Step 5: Solve for x
    x = 102,969,869.65/12,509.59
  6. Step 6: Final answer
    x = 8,231.27

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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.