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Finding the Fourth Proportional to 23,343.44, 32,213.98 and 12,733.12

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Solution

The fourth proportional to 23,343.44, 32,213.98 and 12,733.12 is: 17,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343.44 : 32,213.98 = 12,733.12 : x
  2. Step 2: Convert to fraction form
    23,343.44/32,213.98 = 12,733.12/x
  3. Step 3: Cross multiply
    23,343.44x = 32,213.98 × 12,733.12
  4. Step 4: Simplify right side
    23,343.44x = 410,184,473.02
  5. Step 5: Solve for x
    x = 410,184,473.02/23,343.44
  6. Step 6: Final answer
    x = 17,571.72

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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.