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Finding the Fourth Proportional to 26,515.46, 39,770.46 and 8,984.84

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Solution

The fourth proportional to 26,515.46, 39,770.46 and 8,984.84 is: 13,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,515.46 : 39,770.46 = 8,984.84 : x
  2. Step 2: Convert to fraction form
    26,515.46/39,770.46 = 8,984.84/x
  3. Step 3: Cross multiply
    26,515.46x = 39,770.46 × 8,984.84
  4. Step 4: Simplify right side
    26,515.46x = 357,331,020.97
  5. Step 5: Solve for x
    x = 357,331,020.97/26,515.46
  6. Step 6: Final answer
    x = 13,476.33

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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.