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Finding the Fourth Proportional to 23,571.96, 32,529 and 12,961.50

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Solution

The fourth proportional to 23,571.96, 32,529 and 12,961.50 is: 17,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571.96 : 32,529 = 12,961.50 : x
  2. Step 2: Convert to fraction form
    23,571.96/32,529 = 12,961.50/x
  3. Step 3: Cross multiply
    23,571.96x = 32,529 × 12,961.50
  4. Step 4: Simplify right side
    23,571.96x = 421,624,633.50
  5. Step 5: Solve for x
    x = 421,624,633.50/23,571.96
  6. Step 6: Final answer
    x = 17,886.70

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