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Finding the Fourth Proportional to 13,714.63, 18,926.09 and 7,747.46

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Solution

The fourth proportional to 13,714.63, 18,926.09 and 7,747.46 is: 10,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.63 : 18,926.09 = 7,747.46 : x
  2. Step 2: Convert to fraction form
    13,714.63/18,926.09 = 7,747.46/x
  3. Step 3: Cross multiply
    13,714.63x = 18,926.09 × 7,747.46
  4. Step 4: Simplify right side
    13,714.63x = 146,629,133.81
  5. Step 5: Solve for x
    x = 146,629,133.81/13,714.63
  6. Step 6: Final answer
    x = 10,691.44

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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.