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Finding the Fourth Proportional to 23,234.94, 32,080.86 and 14,294.46

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Solution

The fourth proportional to 23,234.94, 32,080.86 and 14,294.46 is: 19,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.94 : 32,080.86 = 14,294.46 : x
  2. Step 2: Convert to fraction form
    23,234.94/32,080.86 = 14,294.46/x
  3. Step 3: Cross multiply
    23,234.94x = 32,080.86 × 14,294.46
  4. Step 4: Simplify right side
    23,234.94x = 458,578,570.04
  5. Step 5: Solve for x
    x = 458,578,570.04/23,234.94
  6. Step 6: Final answer
    x = 19,736.59

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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.