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Finding the Fourth Proportional to 13,714.95, 18,923.46 and 8,049.42

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Solution

The fourth proportional to 13,714.95, 18,923.46 and 8,049.42 is: 11,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.95 : 18,923.46 = 8,049.42 : x
  2. Step 2: Convert to fraction form
    13,714.95/18,923.46 = 8,049.42/x
  3. Step 3: Cross multiply
    13,714.95x = 18,923.46 × 8,049.42
  4. Step 4: Simplify right side
    13,714.95x = 152,322,877.39
  5. Step 5: Solve for x
    x = 152,322,877.39/13,714.95
  6. Step 6: Final answer
    x = 11,106.34

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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.