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Finding the Fourth Proportional to 23,481.31, 32,407.53 and 14,531.69

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Solution

The fourth proportional to 23,481.31, 32,407.53 and 14,531.69 is: 20,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.31 : 32,407.53 = 14,531.69 : x
  2. Step 2: Convert to fraction form
    23,481.31/32,407.53 = 14,531.69/x
  3. Step 3: Cross multiply
    23,481.31x = 32,407.53 × 14,531.69
  4. Step 4: Simplify right side
    23,481.31x = 470,936,179.63
  5. Step 5: Solve for x
    x = 470,936,179.63/23,481.31
  6. Step 6: Final answer
    x = 20,055.79

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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.