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Finding the Fourth Proportional to 24,957, 37,435.32 and 10,162.44

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Solution

The fourth proportional to 24,957, 37,435.32 and 10,162.44 is: 15,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957 : 37,435.32 = 10,162.44 : x
  2. Step 2: Convert to fraction form
    24,957/37,435.32 = 10,162.44/x
  3. Step 3: Cross multiply
    24,957x = 37,435.32 × 10,162.44
  4. Step 4: Simplify right side
    24,957x = 380,434,193.38
  5. Step 5: Solve for x
    x = 380,434,193.38/24,957
  6. Step 6: Final answer
    x = 15,243.59

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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.