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Finding the Fourth Proportional to 24,993.24, 37,476.09 and 8,344.50

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Solution

The fourth proportional to 24,993.24, 37,476.09 and 8,344.50 is: 12,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,993.24 : 37,476.09 = 8,344.50 : x
  2. Step 2: Convert to fraction form
    24,993.24/37,476.09 = 8,344.50/x
  3. Step 3: Cross multiply
    24,993.24x = 37,476.09 × 8,344.50
  4. Step 4: Simplify right side
    24,993.24x = 312,719,233.01
  5. Step 5: Solve for x
    x = 312,719,233.01/24,993.24
  6. Step 6: Final answer
    x = 12,512.15

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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.