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Finding the Fourth Proportional to 24,822.77, 37,238.76 and 8,183.48

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Solution

The fourth proportional to 24,822.77, 37,238.76 and 8,183.48 is: 12,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.77 : 37,238.76 = 8,183.48 : x
  2. Step 2: Convert to fraction form
    24,822.77/37,238.76 = 8,183.48/x
  3. Step 3: Cross multiply
    24,822.77x = 37,238.76 × 8,183.48
  4. Step 4: Simplify right side
    24,822.77x = 304,742,461.49
  5. Step 5: Solve for x
    x = 304,742,461.49/24,822.77
  6. Step 6: Final answer
    x = 12,276.73

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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.