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Finding the Fourth Proportional to 24,822.44, 37,241.34 and 7,957.96

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Solution

The fourth proportional to 24,822.44, 37,241.34 and 7,957.96 is: 11,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.44 : 37,241.34 = 7,957.96 : x
  2. Step 2: Convert to fraction form
    24,822.44/37,241.34 = 7,957.96/x
  3. Step 3: Cross multiply
    24,822.44x = 37,241.34 × 7,957.96
  4. Step 4: Simplify right side
    24,822.44x = 296,365,094.07
  5. Step 5: Solve for x
    x = 296,365,094.07/24,822.44
  6. Step 6: Final answer
    x = 11,939.40

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Why These Related Problems?

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