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Finding the Fourth Proportional to 24,135.49, 36,204.93 and 7,493.31

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Solution

The fourth proportional to 24,135.49, 36,204.93 and 7,493.31 is: 11,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.49 : 36,204.93 = 7,493.31 : x
  2. Step 2: Convert to fraction form
    24,135.49/36,204.93 = 7,493.31/x
  3. Step 3: Cross multiply
    24,135.49x = 36,204.93 × 7,493.31
  4. Step 4: Simplify right side
    24,135.49x = 271,294,764.02
  5. Step 5: Solve for x
    x = 271,294,764.02/24,135.49
  6. Step 6: Final answer
    x = 11,240.49

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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.