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Finding the Fourth Proportional to 14,076.30, 21,117.65 and 8,229.90

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Solution

The fourth proportional to 14,076.30, 21,117.65 and 8,229.90 is: 12,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.30 : 21,117.65 = 8,229.90 : x
  2. Step 2: Convert to fraction form
    14,076.30/21,117.65 = 8,229.90/x
  3. Step 3: Cross multiply
    14,076.30x = 21,117.65 × 8,229.90
  4. Step 4: Simplify right side
    14,076.30x = 173,796,147.74
  5. Step 5: Solve for x
    x = 173,796,147.74/14,076.30
  6. Step 6: Final answer
    x = 12,346.72

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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.