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Finding the Fourth Proportional to 13,456.72, 20,178.84 and 7,448.72

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Solution

The fourth proportional to 13,456.72, 20,178.84 and 7,448.72 is: 11,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.72 : 20,178.84 = 7,448.72 : x
  2. Step 2: Convert to fraction form
    13,456.72/20,178.84 = 7,448.72/x
  3. Step 3: Cross multiply
    13,456.72x = 20,178.84 × 7,448.72
  4. Step 4: Simplify right side
    13,456.72x = 150,306,529.08
  5. Step 5: Solve for x
    x = 150,306,529.08/13,456.72
  6. Step 6: Final answer
    x = 11,169.63

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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.