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Finding the Fourth Proportional to 24,708.78, 37,059.12 and 7,174.44

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Solution

The fourth proportional to 24,708.78, 37,059.12 and 7,174.44 is: 10,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.78 : 37,059.12 = 7,174.44 : x
  2. Step 2: Convert to fraction form
    24,708.78/37,059.12 = 7,174.44/x
  3. Step 3: Cross multiply
    24,708.78x = 37,059.12 × 7,174.44
  4. Step 4: Simplify right side
    24,708.78x = 265,878,432.89
  5. Step 5: Solve for x
    x = 265,878,432.89/24,708.78
  6. Step 6: Final answer
    x = 10,760.48

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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.