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Finding the Fourth Proportional to 12,281.83, 16,954.72 and 8,309.39

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Solution

The fourth proportional to 12,281.83, 16,954.72 and 8,309.39 is: 11,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.83 : 16,954.72 = 8,309.39 : x
  2. Step 2: Convert to fraction form
    12,281.83/16,954.72 = 8,309.39/x
  3. Step 3: Cross multiply
    12,281.83x = 16,954.72 × 8,309.39
  4. Step 4: Simplify right side
    12,281.83x = 140,883,275.27
  5. Step 5: Solve for x
    x = 140,883,275.27/12,281.83
  6. Step 6: Final answer
    x = 11,470.87

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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.