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Finding the Fourth Proportional to 24,811.56, 37,222.47 and 8,172.61

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Solution

The fourth proportional to 24,811.56, 37,222.47 and 8,172.61 is: 12,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.56 : 37,222.47 = 8,172.61 : x
  2. Step 2: Convert to fraction form
    24,811.56/37,222.47 = 8,172.61/x
  3. Step 3: Cross multiply
    24,811.56x = 37,222.47 × 8,172.61
  4. Step 4: Simplify right side
    24,811.56x = 304,204,637.49
  5. Step 5: Solve for x
    x = 304,204,637.49/24,811.56
  6. Step 6: Final answer
    x = 12,260.60

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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.