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Finding the Fourth Proportional to 14,600.90, 20,149.80 and 8,230.02

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Solution

The fourth proportional to 14,600.90, 20,149.80 and 8,230.02 is: 11,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.90 : 20,149.80 = 8,230.02 : x
  2. Step 2: Convert to fraction form
    14,600.90/20,149.80 = 8,230.02/x
  3. Step 3: Cross multiply
    14,600.90x = 20,149.80 × 8,230.02
  4. Step 4: Simplify right side
    14,600.90x = 165,833,257.00
  5. Step 5: Solve for x
    x = 165,833,257.00/14,600.90
  6. Step 6: Final answer
    x = 11,357.74

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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.