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Finding the Fourth Proportional to 23,342.78, 32,213.26 and 12,732.63

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Solution

The fourth proportional to 23,342.78, 32,213.26 and 12,732.63 is: 17,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.78 : 32,213.26 = 12,732.63 : x
  2. Step 2: Convert to fraction form
    23,342.78/32,213.26 = 12,732.63/x
  3. Step 3: Cross multiply
    23,342.78x = 32,213.26 × 12,732.63
  4. Step 4: Simplify right side
    23,342.78x = 410,159,415.79
  5. Step 5: Solve for x
    x = 410,159,415.79/23,342.78
  6. Step 6: Final answer
    x = 17,571.14

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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.