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Finding the Fourth Proportional to 13,680.41, 18,878.82 and 7,714.00

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Solution

The fourth proportional to 13,680.41, 18,878.82 and 7,714.00 is: 10,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.41 : 18,878.82 = 7,714.00 : x
  2. Step 2: Convert to fraction form
    13,680.41/18,878.82 = 7,714.00/x
  3. Step 3: Cross multiply
    13,680.41x = 18,878.82 × 7,714.00
  4. Step 4: Simplify right side
    13,680.41x = 145,631,175.90
  5. Step 5: Solve for x
    x = 145,631,175.90/13,680.41
  6. Step 6: Final answer
    x = 10,645.24

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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.