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Finding the Fourth Proportional to 13,380.43, 18,467.28 and 7,714.18

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Solution

The fourth proportional to 13,380.43, 18,467.28 and 7,714.18 is: 10,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.43 : 18,467.28 = 7,714.18 : x
  2. Step 2: Convert to fraction form
    13,380.43/18,467.28 = 7,714.18/x
  3. Step 3: Cross multiply
    13,380.43x = 18,467.28 × 7,714.18
  4. Step 4: Simplify right side
    13,380.43x = 142,459,922.03
  5. Step 5: Solve for x
    x = 142,459,922.03/13,380.43
  6. Step 6: Final answer
    x = 10,646.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.