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Finding the Fourth Proportional to 23,481.78, 32,405.31 and 12,870.78

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Solution

The fourth proportional to 23,481.78, 32,405.31 and 12,870.78 is: 17,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.78 : 32,405.31 = 12,870.78 : x
  2. Step 2: Convert to fraction form
    23,481.78/32,405.31 = 12,870.78/x
  3. Step 3: Cross multiply
    23,481.78x = 32,405.31 × 12,870.78
  4. Step 4: Simplify right side
    23,481.78x = 417,081,615.84
  5. Step 5: Solve for x
    x = 417,081,615.84/23,481.78
  6. Step 6: Final answer
    x = 17,761.93

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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.