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Finding the Fourth Proportional to 24,736.80, 37,110.60 and 8,097.60

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Solution

The fourth proportional to 24,736.80, 37,110.60 and 8,097.60 is: 12,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736.80 : 37,110.60 = 8,097.60 : x
  2. Step 2: Convert to fraction form
    24,736.80/37,110.60 = 8,097.60/x
  3. Step 3: Cross multiply
    24,736.80x = 37,110.60 × 8,097.60
  4. Step 4: Simplify right side
    24,736.80x = 300,506,794.56
  5. Step 5: Solve for x
    x = 300,506,794.56/24,736.80
  6. Step 6: Final answer
    x = 12,148.17

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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.