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Finding the Fourth Proportional to 23,809.24, 35,692.72 and 9,007.84

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Solution

The fourth proportional to 23,809.24, 35,692.72 and 9,007.84 is: 13,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.24 : 35,692.72 = 9,007.84 : x
  2. Step 2: Convert to fraction form
    23,809.24/35,692.72 = 9,007.84/x
  3. Step 3: Cross multiply
    23,809.24x = 35,692.72 × 9,007.84
  4. Step 4: Simplify right side
    23,809.24x = 321,514,310.92
  5. Step 5: Solve for x
    x = 321,514,310.92/23,809.24
  6. Step 6: Final answer
    x = 13,503.76

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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.