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Finding the Fourth Proportional to 13,816.49, 20,712.42 and 6,416.92

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Solution

The fourth proportional to 13,816.49, 20,712.42 and 6,416.92 is: 9,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.49 : 20,712.42 = 6,416.92 : x
  2. Step 2: Convert to fraction form
    13,816.49/20,712.42 = 6,416.92/x
  3. Step 3: Cross multiply
    13,816.49x = 20,712.42 × 6,416.92
  4. Step 4: Simplify right side
    13,816.49x = 132,909,914.43
  5. Step 5: Solve for x
    x = 132,909,914.43/13,816.49
  6. Step 6: Final answer
    x = 9,619.66

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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.