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Finding the Fourth Proportional to 14,077.30, 21,119.15 and 8,230.90

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Solution

The fourth proportional to 14,077.30, 21,119.15 and 8,230.90 is: 12,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.30 : 21,119.15 = 8,230.90 : x
  2. Step 2: Convert to fraction form
    14,077.30/21,119.15 = 8,230.90/x
  3. Step 3: Cross multiply
    14,077.30x = 21,119.15 × 8,230.90
  4. Step 4: Simplify right side
    14,077.30x = 173,829,611.74
  5. Step 5: Solve for x
    x = 173,829,611.74/14,077.30
  6. Step 6: Final answer
    x = 12,348.22

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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.