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Finding the Fourth Proportional to 24,733.88, 37,103.12 and 8,094.02

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Solution

The fourth proportional to 24,733.88, 37,103.12 and 8,094.02 is: 12,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.88 : 37,103.12 = 8,094.02 : x
  2. Step 2: Convert to fraction form
    24,733.88/37,103.12 = 8,094.02/x
  3. Step 3: Cross multiply
    24,733.88x = 37,103.12 × 8,094.02
  4. Step 4: Simplify right side
    24,733.88x = 300,313,395.34
  5. Step 5: Solve for x
    x = 300,313,395.34/24,733.88
  6. Step 6: Final answer
    x = 12,141.78

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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.