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Finding the Fourth Proportional to 24,755.40, 37,133.10 and 8,118

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Solution

The fourth proportional to 24,755.40, 37,133.10 and 8,118 is: 12,177

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.40 : 37,133.10 = 8,118 : x
  2. Step 2: Convert to fraction form
    24,755.40/37,133.10 = 8,118/x
  3. Step 3: Cross multiply
    24,755.40x = 37,133.10 × 8,118
  4. Step 4: Simplify right side
    24,755.40x = 301,446,505.80
  5. Step 5: Solve for x
    x = 301,446,505.80/24,755.40
  6. Step 6: Final answer
    x = 12,177

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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.