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Finding the Fourth Proportional to 24,691.80, 37,043.10 and 8,052.60

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Solution

The fourth proportional to 24,691.80, 37,043.10 and 8,052.60 is: 12,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691.80 : 37,043.10 = 8,052.60 : x
  2. Step 2: Convert to fraction form
    24,691.80/37,043.10 = 8,052.60/x
  3. Step 3: Cross multiply
    24,691.80x = 37,043.10 × 8,052.60
  4. Step 4: Simplify right side
    24,691.80x = 298,293,267.06
  5. Step 5: Solve for x
    x = 298,293,267.06/24,691.80
  6. Step 6: Final answer
    x = 12,080.66

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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.