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Finding the Fourth Proportional to 24,798.16, 37,195.44 and 8,158

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Solution

The fourth proportional to 24,798.16, 37,195.44 and 8,158 is: 12,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.16 : 37,195.44 = 8,158 : x
  2. Step 2: Convert to fraction form
    24,798.16/37,195.44 = 8,158/x
  3. Step 3: Cross multiply
    24,798.16x = 37,195.44 × 8,158
  4. Step 4: Simplify right side
    24,798.16x = 303,440,399.52
  5. Step 5: Solve for x
    x = 303,440,399.52/24,798.16
  6. Step 6: Final answer
    x = 12,236.41

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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.