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Finding the Fourth Proportional to 23,343.56, 32,214.24 and 12,733.24

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Solution

The fourth proportional to 23,343.56, 32,214.24 and 12,733.24 is: 17,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343.56 : 32,214.24 = 12,733.24 : x
  2. Step 2: Convert to fraction form
    23,343.56/32,214.24 = 12,733.24/x
  3. Step 3: Cross multiply
    23,343.56x = 32,214.24 × 12,733.24
  4. Step 4: Simplify right side
    23,343.56x = 410,191,649.34
  5. Step 5: Solve for x
    x = 410,191,649.34/23,343.56
  6. Step 6: Final answer
    x = 17,571.94

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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.