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Finding the Fourth Proportional to 14,175.12, 21,266.08 and 6,777.44

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Solution

The fourth proportional to 14,175.12, 21,266.08 and 6,777.44 is: 10,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.12 : 21,266.08 = 6,777.44 : x
  2. Step 2: Convert to fraction form
    14,175.12/21,266.08 = 6,777.44/x
  3. Step 3: Cross multiply
    14,175.12x = 21,266.08 × 6,777.44
  4. Step 4: Simplify right side
    14,175.12x = 144,129,581.24
  5. Step 5: Solve for x
    x = 144,129,581.24/14,175.12
  6. Step 6: Final answer
    x = 10,167.79

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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.