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Finding the Fourth Proportional to 24,672.78, 37,009.50 and 8,032.88

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Solution

The fourth proportional to 24,672.78, 37,009.50 and 8,032.88 is: 12,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.78 : 37,009.50 = 8,032.88 : x
  2. Step 2: Convert to fraction form
    24,672.78/37,009.50 = 8,032.88/x
  3. Step 3: Cross multiply
    24,672.78x = 37,009.50 × 8,032.88
  4. Step 4: Simplify right side
    24,672.78x = 297,292,872.36
  5. Step 5: Solve for x
    x = 297,292,872.36/24,672.78
  6. Step 6: Final answer
    x = 12,049.43

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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.