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Finding the Fourth Proportional to 13,380.94, 18,467.98 and 7,714.66

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Solution

The fourth proportional to 13,380.94, 18,467.98 and 7,714.66 is: 10,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.94 : 18,467.98 = 7,714.66 : x
  2. Step 2: Convert to fraction form
    13,380.94/18,467.98 = 7,714.66/x
  3. Step 3: Cross multiply
    13,380.94x = 18,467.98 × 7,714.66
  4. Step 4: Simplify right side
    13,380.94x = 142,474,186.59
  5. Step 5: Solve for x
    x = 142,474,186.59/13,380.94
  6. Step 6: Final answer
    x = 10,647.55

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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.