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Finding the Fourth Proportional to 24,697.23, 37,049.70 and 8,053.41

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Solution

The fourth proportional to 24,697.23, 37,049.70 and 8,053.41 is: 12,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.23 : 37,049.70 = 8,053.41 : x
  2. Step 2: Convert to fraction form
    24,697.23/37,049.70 = 8,053.41/x
  3. Step 3: Cross multiply
    24,697.23x = 37,049.70 × 8,053.41
  4. Step 4: Simplify right side
    24,697.23x = 298,376,424.48
  5. Step 5: Solve for x
    x = 298,376,424.48/24,697.23
  6. Step 6: Final answer
    x = 12,081.37

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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.