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Finding the Fourth Proportional to 28,323.68, 42,481.20 and 15,836

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Solution

The fourth proportional to 28,323.68, 42,481.20 and 15,836 is: 23,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,323.68 : 42,481.20 = 15,836 : x
  2. Step 2: Convert to fraction form
    28,323.68/42,481.20 = 15,836/x
  3. Step 3: Cross multiply
    28,323.68x = 42,481.20 × 15,836
  4. Step 4: Simplify right side
    28,323.68x = 672,732,283.20
  5. Step 5: Solve for x
    x = 672,732,283.20/28,323.68
  6. Step 6: Final answer
    x = 23,751.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.