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Finding the Fourth Proportional to 13,509.36, 20,234.88 and 13,178.88

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Solution

The fourth proportional to 13,509.36, 20,234.88 and 13,178.88 is: 19,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.36 : 20,234.88 = 13,178.88 : x
  2. Step 2: Convert to fraction form
    13,509.36/20,234.88 = 13,178.88/x
  3. Step 3: Cross multiply
    13,509.36x = 20,234.88 × 13,178.88
  4. Step 4: Simplify right side
    13,509.36x = 266,673,055.33
  5. Step 5: Solve for x
    x = 266,673,055.33/13,509.36
  6. Step 6: Final answer
    x = 19,739.87

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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.