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Finding the Fourth Proportional to 24,608.92, 36,887.46 and 12,271

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Solution

The fourth proportional to 24,608.92, 36,887.46 and 12,271 is: 18,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.92 : 36,887.46 = 12,271 : x
  2. Step 2: Convert to fraction form
    24,608.92/36,887.46 = 12,271/x
  3. Step 3: Cross multiply
    24,608.92x = 36,887.46 × 12,271
  4. Step 4: Simplify right side
    24,608.92x = 452,646,021.66
  5. Step 5: Solve for x
    x = 452,646,021.66/24,608.92
  6. Step 6: Final answer
    x = 18,393.58

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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.