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Finding the Fourth Proportional to 23,453.76, 35,179.44 and 8,661.60

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Solution

The fourth proportional to 23,453.76, 35,179.44 and 8,661.60 is: 12,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.76 : 35,179.44 = 8,661.60 : x
  2. Step 2: Convert to fraction form
    23,453.76/35,179.44 = 8,661.60/x
  3. Step 3: Cross multiply
    23,453.76x = 35,179.44 × 8,661.60
  4. Step 4: Simplify right side
    23,453.76x = 304,710,237.50
  5. Step 5: Solve for x
    x = 304,710,237.50/23,453.76
  6. Step 6: Final answer
    x = 12,991.96

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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.