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Finding the Fourth Proportional to 13,864, 20,789.52 and 4,623.52

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Solution

The fourth proportional to 13,864, 20,789.52 and 4,623.52 is: 6,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 20,789.52 = 4,623.52 : x
  2. Step 2: Convert to fraction form
    13,864/20,789.52 = 4,623.52/x
  3. Step 3: Cross multiply
    13,864x = 20,789.52 × 4,623.52
  4. Step 4: Simplify right side
    13,864x = 96,120,761.51
  5. Step 5: Solve for x
    x = 96,120,761.51/13,864
  6. Step 6: Final answer
    x = 6,933.12

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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.