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Finding the Fourth Proportional to 13,794.48, 20,665.80 and 6,852.24

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Solution

The fourth proportional to 13,794.48, 20,665.80 and 6,852.24 is: 10,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.48 : 20,665.80 = 6,852.24 : x
  2. Step 2: Convert to fraction form
    13,794.48/20,665.80 = 6,852.24/x
  3. Step 3: Cross multiply
    13,794.48x = 20,665.80 × 6,852.24
  4. Step 4: Simplify right side
    13,794.48x = 141,607,021.39
  5. Step 5: Solve for x
    x = 141,607,021.39/13,794.48
  6. Step 6: Final answer
    x = 10,265.48

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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.