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Finding the Fourth Proportional to 14,821.44, 22,215.60 and 8,982

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Solution

The fourth proportional to 14,821.44, 22,215.60 and 8,982 is: 13,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.44 : 22,215.60 = 8,982 : x
  2. Step 2: Convert to fraction form
    14,821.44/22,215.60 = 8,982/x
  3. Step 3: Cross multiply
    14,821.44x = 22,215.60 × 8,982
  4. Step 4: Simplify right side
    14,821.44x = 199,540,519.20
  5. Step 5: Solve for x
    x = 199,540,519.20/14,821.44
  6. Step 6: Final answer
    x = 13,462.96

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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.