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Finding the Fourth Proportional to 26,580.80, 36,674.88 and 17,138

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Solution

The fourth proportional to 26,580.80, 36,674.88 and 17,138 is: 23,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580.80 : 36,674.88 = 17,138 : x
  2. Step 2: Convert to fraction form
    26,580.80/36,674.88 = 17,138/x
  3. Step 3: Cross multiply
    26,580.80x = 36,674.88 × 17,138
  4. Step 4: Simplify right side
    26,580.80x = 628,534,093.44
  5. Step 5: Solve for x
    x = 628,534,093.44/26,580.80
  6. Step 6: Final answer
    x = 23,646.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.