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Finding the Fourth Proportional to 26,584.93, 39,874.96 and 8,116.93

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Solution

The fourth proportional to 26,584.93, 39,874.96 and 8,116.93 is: 12,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584.93 : 39,874.96 = 8,116.93 : x
  2. Step 2: Convert to fraction form
    26,584.93/39,874.96 = 8,116.93/x
  3. Step 3: Cross multiply
    26,584.93x = 39,874.96 × 8,116.93
  4. Step 4: Simplify right side
    26,584.93x = 323,662,259.07
  5. Step 5: Solve for x
    x = 323,662,259.07/26,584.93
  6. Step 6: Final answer
    x = 12,174.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.