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Finding the Fourth Proportional to 14,257.48, 21,375.66 and 6,855.88

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Solution

The fourth proportional to 14,257.48, 21,375.66 and 6,855.88 is: 10,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.48 : 21,375.66 = 6,855.88 : x
  2. Step 2: Convert to fraction form
    14,257.48/21,375.66 = 6,855.88/x
  3. Step 3: Cross multiply
    14,257.48x = 21,375.66 × 6,855.88
  4. Step 4: Simplify right side
    14,257.48x = 146,548,959.88
  5. Step 5: Solve for x
    x = 146,548,959.88/14,257.48
  6. Step 6: Final answer
    x = 10,278.74

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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.