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Finding the Fourth Proportional to 24,772.63, 37,162.81 and 8,128.88

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Solution

The fourth proportional to 24,772.63, 37,162.81 and 8,128.88 is: 12,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772.63 : 37,162.81 = 8,128.88 : x
  2. Step 2: Convert to fraction form
    24,772.63/37,162.81 = 8,128.88/x
  3. Step 3: Cross multiply
    24,772.63x = 37,162.81 × 8,128.88
  4. Step 4: Simplify right side
    24,772.63x = 302,091,837.14
  5. Step 5: Solve for x
    x = 302,091,837.14/24,772.63
  6. Step 6: Final answer
    x = 12,194.58

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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.