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Finding the Fourth Proportional to 13,251, 18,289.68 and 7,665.24

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Solution

The fourth proportional to 13,251, 18,289.68 and 7,665.24 is: 10,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251 : 18,289.68 = 7,665.24 : x
  2. Step 2: Convert to fraction form
    13,251/18,289.68 = 7,665.24/x
  3. Step 3: Cross multiply
    13,251x = 18,289.68 × 7,665.24
  4. Step 4: Simplify right side
    13,251x = 140,194,786.72
  5. Step 5: Solve for x
    x = 140,194,786.72/13,251
  6. Step 6: Final answer
    x = 10,579.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.