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Finding the Fourth Proportional to 13,816.40, 20,722.20 and 5,046.80

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Solution

The fourth proportional to 13,816.40, 20,722.20 and 5,046.80 is: 7,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.40 : 20,722.20 = 5,046.80 : x
  2. Step 2: Convert to fraction form
    13,816.40/20,722.20 = 5,046.80/x
  3. Step 3: Cross multiply
    13,816.40x = 20,722.20 × 5,046.80
  4. Step 4: Simplify right side
    13,816.40x = 104,580,798.96
  5. Step 5: Solve for x
    x = 104,580,798.96/13,816.40
  6. Step 6: Final answer
    x = 7,569.32

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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.