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Finding the Fourth Proportional to 13,683.21, 18,882.56 and 7,714.88

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Solution

The fourth proportional to 13,683.21, 18,882.56 and 7,714.88 is: 10,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.21 : 18,882.56 = 7,714.88 : x
  2. Step 2: Convert to fraction form
    13,683.21/18,882.56 = 7,714.88/x
  3. Step 3: Cross multiply
    13,683.21x = 18,882.56 × 7,714.88
  4. Step 4: Simplify right side
    13,683.21x = 145,676,680.18
  5. Step 5: Solve for x
    x = 145,676,680.18/13,683.21
  6. Step 6: Final answer
    x = 10,646.38

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Why These Related Problems?

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