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Finding the Fourth Proportional to 26,114.88, 39,164.01 and 8,580.66

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Solution

The fourth proportional to 26,114.88, 39,164.01 and 8,580.66 is: 12,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114.88 : 39,164.01 = 8,580.66 : x
  2. Step 2: Convert to fraction form
    26,114.88/39,164.01 = 8,580.66/x
  3. Step 3: Cross multiply
    26,114.88x = 39,164.01 × 8,580.66
  4. Step 4: Simplify right side
    26,114.88x = 336,053,054.05
  5. Step 5: Solve for x
    x = 336,053,054.05/26,114.88
  6. Step 6: Final answer
    x = 12,868.26

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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.