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Finding the Fourth Proportional to 13,682.47, 18,882.03 and 7,714.44

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Solution

The fourth proportional to 13,682.47, 18,882.03 and 7,714.44 is: 10,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.47 : 18,882.03 = 7,714.44 : x
  2. Step 2: Convert to fraction form
    13,682.47/18,882.03 = 7,714.44/x
  3. Step 3: Cross multiply
    13,682.47x = 18,882.03 × 7,714.44
  4. Step 4: Simplify right side
    13,682.47x = 145,664,287.51
  5. Step 5: Solve for x
    x = 145,664,287.51/13,682.47
  6. Step 6: Final answer
    x = 10,646.05

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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.