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Finding the Fourth Proportional to 13,714.14, 20,543.76 and 6,308.49

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Solution

The fourth proportional to 13,714.14, 20,543.76 and 6,308.49 is: 9,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.14 : 20,543.76 = 6,308.49 : x
  2. Step 2: Convert to fraction form
    13,714.14/20,543.76 = 6,308.49/x
  3. Step 3: Cross multiply
    13,714.14x = 20,543.76 × 6,308.49
  4. Step 4: Simplify right side
    13,714.14x = 129,600,104.52
  5. Step 5: Solve for x
    x = 129,600,104.52/13,714.14
  6. Step 6: Final answer
    x = 9,450.11

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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.