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Finding the Fourth Proportional to 14,878.44, 20,540.34 and 9,214.20

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Solution

The fourth proportional to 14,878.44, 20,540.34 and 9,214.20 is: 12,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.44 : 20,540.34 = 9,214.20 : x
  2. Step 2: Convert to fraction form
    14,878.44/20,540.34 = 9,214.20/x
  3. Step 3: Cross multiply
    14,878.44x = 20,540.34 × 9,214.20
  4. Step 4: Simplify right side
    14,878.44x = 189,262,800.83
  5. Step 5: Solve for x
    x = 189,262,800.83/14,878.44
  6. Step 6: Final answer
    x = 12,720.61

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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.