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Finding the Fourth Proportional to 15,924.80, 23,852.10 and 9,982.34

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Solution

The fourth proportional to 15,924.80, 23,852.10 and 9,982.34 is: 14,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.80 : 23,852.10 = 9,982.34 : x
  2. Step 2: Convert to fraction form
    15,924.80/23,852.10 = 9,982.34/x
  3. Step 3: Cross multiply
    15,924.80x = 23,852.10 × 9,982.34
  4. Step 4: Simplify right side
    15,924.80x = 238,099,771.91
  5. Step 5: Solve for x
    x = 238,099,771.91/15,924.80
  6. Step 6: Final answer
    x = 14,951.51

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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.