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Finding the Fourth Proportional to 24,893.67, 37,346.49 and 7,124.61

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Solution

The fourth proportional to 24,893.67, 37,346.49 and 7,124.61 is: 10,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,893.67 : 37,346.49 = 7,124.61 : x
  2. Step 2: Convert to fraction form
    24,893.67/37,346.49 = 7,124.61/x
  3. Step 3: Cross multiply
    24,893.67x = 37,346.49 × 7,124.61
  4. Step 4: Simplify right side
    24,893.67x = 266,079,176.12
  5. Step 5: Solve for x
    x = 266,079,176.12/24,893.67
  6. Step 6: Final answer
    x = 10,688.63

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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.