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Finding the Fourth Proportional to 14,097.54, 21,149.10 and 6,306.42

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Solution

The fourth proportional to 14,097.54, 21,149.10 and 6,306.42 is: 9,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.54 : 21,149.10 = 6,306.42 : x
  2. Step 2: Convert to fraction form
    14,097.54/21,149.10 = 6,306.42/x
  3. Step 3: Cross multiply
    14,097.54x = 21,149.10 × 6,306.42
  4. Step 4: Simplify right side
    14,097.54x = 133,375,107.22
  5. Step 5: Solve for x
    x = 133,375,107.22/14,097.54
  6. Step 6: Final answer
    x = 9,460.88

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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.