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Finding the Fourth Proportional to 24,741.39, 37,103.76 and 8,097.51

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Solution

The fourth proportional to 24,741.39, 37,103.76 and 8,097.51 is: 12,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.39 : 37,103.76 = 8,097.51 : x
  2. Step 2: Convert to fraction form
    24,741.39/37,103.76 = 8,097.51/x
  3. Step 3: Cross multiply
    24,741.39x = 37,103.76 × 8,097.51
  4. Step 4: Simplify right side
    24,741.39x = 300,448,067.64
  5. Step 5: Solve for x
    x = 300,448,067.64/24,741.39
  6. Step 6: Final answer
    x = 12,143.54

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1.5x scale

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.