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Finding the Fourth Proportional to 12,269.16, 16,924.68 and 8,295.84

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Solution

The fourth proportional to 12,269.16, 16,924.68 and 8,295.84 is: 11,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.16 : 16,924.68 = 8,295.84 : x
  2. Step 2: Convert to fraction form
    12,269.16/16,924.68 = 8,295.84/x
  3. Step 3: Cross multiply
    12,269.16x = 16,924.68 × 8,295.84
  4. Step 4: Simplify right side
    12,269.16x = 140,404,437.33
  5. Step 5: Solve for x
    x = 140,404,437.33/12,269.16
  6. Step 6: Final answer
    x = 11,443.69

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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.