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Finding the Fourth Proportional to 24,942.76, 37,420.11 and 7,412.54

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Solution

The fourth proportional to 24,942.76, 37,420.11 and 7,412.54 is: 11,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.76 : 37,420.11 = 7,412.54 : x
  2. Step 2: Convert to fraction form
    24,942.76/37,420.11 = 7,412.54/x
  3. Step 3: Cross multiply
    24,942.76x = 37,420.11 × 7,412.54
  4. Step 4: Simplify right side
    24,942.76x = 277,377,875.08
  5. Step 5: Solve for x
    x = 277,377,875.08/24,942.76
  6. Step 6: Final answer
    x = 11,120.58

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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.