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Finding the Fourth Proportional to 23,692.34, 35,556.87 and 8,914.70

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Solution

The fourth proportional to 23,692.34, 35,556.87 and 8,914.70 is: 13,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.34 : 35,556.87 = 8,914.70 : x
  2. Step 2: Convert to fraction form
    23,692.34/35,556.87 = 8,914.70/x
  3. Step 3: Cross multiply
    23,692.34x = 35,556.87 × 8,914.70
  4. Step 4: Simplify right side
    23,692.34x = 316,978,828.99
  5. Step 5: Solve for x
    x = 316,978,828.99/23,692.34
  6. Step 6: Final answer
    x = 13,378.96

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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.