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Finding the Fourth Proportional to 14,563.20, 21,844.80 and 5,332.80

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Solution

The fourth proportional to 14,563.20, 21,844.80 and 5,332.80 is: 7,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.20 : 21,844.80 = 5,332.80 : x
  2. Step 2: Convert to fraction form
    14,563.20/21,844.80 = 5,332.80/x
  3. Step 3: Cross multiply
    14,563.20x = 21,844.80 × 5,332.80
  4. Step 4: Simplify right side
    14,563.20x = 116,493,949.44
  5. Step 5: Solve for x
    x = 116,493,949.44/14,563.20
  6. Step 6: Final answer
    x = 7,999.20

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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.