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Finding the Fourth Proportional to 13,220.88, 19,816.20 and 5,814.24

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Solution

The fourth proportional to 13,220.88, 19,816.20 and 5,814.24 is: 8,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.88 : 19,816.20 = 5,814.24 : x
  2. Step 2: Convert to fraction form
    13,220.88/19,816.20 = 5,814.24/x
  3. Step 3: Cross multiply
    13,220.88x = 19,816.20 × 5,814.24
  4. Step 4: Simplify right side
    13,220.88x = 115,216,142.69
  5. Step 5: Solve for x
    x = 115,216,142.69/13,220.88
  6. Step 6: Final answer
    x = 8,714.71

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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.