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Finding the Fourth Proportional to 19,842.20, 29,714.70 and 13,232.60

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Solution

The fourth proportional to 19,842.20, 29,714.70 and 13,232.60 is: 19,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.20 : 29,714.70 = 13,232.60 : x
  2. Step 2: Convert to fraction form
    19,842.20/29,714.70 = 13,232.60/x
  3. Step 3: Cross multiply
    19,842.20x = 29,714.70 × 13,232.60
  4. Step 4: Simplify right side
    19,842.20x = 393,202,739.22
  5. Step 5: Solve for x
    x = 393,202,739.22/19,842.20
  6. Step 6: Final answer
    x = 19,816.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.