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Finding the Fourth Proportional to 24,931.23, 37,388.73 and 8,286.80

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Solution

The fourth proportional to 24,931.23, 37,388.73 and 8,286.80 is: 12,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931.23 : 37,388.73 = 8,286.80 : x
  2. Step 2: Convert to fraction form
    24,931.23/37,388.73 = 8,286.80/x
  3. Step 3: Cross multiply
    24,931.23x = 37,388.73 × 8,286.80
  4. Step 4: Simplify right side
    24,931.23x = 309,832,927.76
  5. Step 5: Solve for x
    x = 309,832,927.76/24,931.23
  6. Step 6: Final answer
    x = 12,427.50

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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.