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Finding the Fourth Proportional to 13,714.32, 20,554.83 and 6,308.58

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Solution

The fourth proportional to 13,714.32, 20,554.83 and 6,308.58 is: 9,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.32 : 20,554.83 = 6,308.58 : x
  2. Step 2: Convert to fraction form
    13,714.32/20,554.83 = 6,308.58/x
  3. Step 3: Cross multiply
    13,714.32x = 20,554.83 × 6,308.58
  4. Step 4: Simplify right side
    13,714.32x = 129,671,789.44
  5. Step 5: Solve for x
    x = 129,671,789.44/13,714.32
  6. Step 6: Final answer
    x = 9,455.21

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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.